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Finding the Fourth Proportional to 432.69, 649.11 and 144.14

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Solution

The fourth proportional to 432.69, 649.11 and 144.14 is: 216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.69 : 649.11 = 144.14 : x
  2. Step 2: Convert to fraction form
    432.69/649.11 = 144.14/x
  3. Step 3: Cross multiply
    432.69x = 649.11 × 144.14
  4. Step 4: Simplify right side
    432.69x = 93,559.47
  5. Step 5: Solve for x
    x = 93,559.47/432.69
  6. Step 6: Final answer
    x = 216.23

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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.