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Finding the Fourth Proportional to 510.54, 765.67 and 145.24

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Solution

The fourth proportional to 510.54, 765.67 and 145.24 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.54 : 765.67 = 145.24 : x
  2. Step 2: Convert to fraction form
    510.54/765.67 = 145.24/x
  3. Step 3: Cross multiply
    510.54x = 765.67 × 145.24
  4. Step 4: Simplify right side
    510.54x = 111,205.91
  5. Step 5: Solve for x
    x = 111,205.91/510.54
  6. Step 6: Final answer
    x = 217.82

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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.