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Finding the Fourth Proportional to 510.72, 765.90 and 145.43

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Solution

The fourth proportional to 510.72, 765.90 and 145.43 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.72 : 765.90 = 145.43 : x
  2. Step 2: Convert to fraction form
    510.72/765.90 = 145.43/x
  3. Step 3: Cross multiply
    510.72x = 765.90 × 145.43
  4. Step 4: Simplify right side
    510.72x = 111,381.01
  5. Step 5: Solve for x
    x = 111,381.01/510.72
  6. Step 6: Final answer
    x = 218.09

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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.