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Finding the Fourth Proportional to 432.93, 649.39 and 140.64

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Solution

The fourth proportional to 432.93, 649.39 and 140.64 is: 210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.93 : 649.39 = 140.64 : x
  2. Step 2: Convert to fraction form
    432.93/649.39 = 140.64/x
  3. Step 3: Cross multiply
    432.93x = 649.39 × 140.64
  4. Step 4: Simplify right side
    432.93x = 91,330.21
  5. Step 5: Solve for x
    x = 91,330.21/432.93
  6. Step 6: Final answer
    x = 210.96

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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.