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Finding the Fourth Proportional to 510.23, 765.38 and 145.05

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Solution

The fourth proportional to 510.23, 765.38 and 145.05 is: 217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.23 : 765.38 = 145.05 : x
  2. Step 2: Convert to fraction form
    510.23/765.38 = 145.05/x
  3. Step 3: Cross multiply
    510.23x = 765.38 × 145.05
  4. Step 4: Simplify right side
    510.23x = 111,013.82
  5. Step 5: Solve for x
    x = 111,013.82/510.23
  6. Step 6: Final answer
    x = 217.58

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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.