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Finding the Fourth Proportional to 432.65, 649.07 and 158.75

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Solution

The fourth proportional to 432.65, 649.07 and 158.75 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.65 : 649.07 = 158.75 : x
  2. Step 2: Convert to fraction form
    432.65/649.07 = 158.75/x
  3. Step 3: Cross multiply
    432.65x = 649.07 × 158.75
  4. Step 4: Simplify right side
    432.65x = 103,037.01
  5. Step 5: Solve for x
    x = 103,037.01/432.65
  6. Step 6: Final answer
    x = 238.15

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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.