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Finding the Fourth Proportional to 510.25, 765.51 and 145.04

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Solution

The fourth proportional to 510.25, 765.51 and 145.04 is: 217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.25 : 765.51 = 145.04 : x
  2. Step 2: Convert to fraction form
    510.25/765.51 = 145.04/x
  3. Step 3: Cross multiply
    510.25x = 765.51 × 145.04
  4. Step 4: Simplify right side
    510.25x = 111,029.57
  5. Step 5: Solve for x
    x = 111,029.57/510.25
  6. Step 6: Final answer
    x = 217.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.