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Finding the Fourth Proportional to 510.07, 765.11 and 144.86

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Solution

The fourth proportional to 510.07, 765.11 and 144.86 is: 217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.07 : 765.11 = 144.86 : x
  2. Step 2: Convert to fraction form
    510.07/765.11 = 144.86/x
  3. Step 3: Cross multiply
    510.07x = 765.11 × 144.86
  4. Step 4: Simplify right side
    510.07x = 110,833.86
  5. Step 5: Solve for x
    x = 110,833.86/510.07
  6. Step 6: Final answer
    x = 217.29

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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.