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Finding the Fourth Proportional to 432.60, 649.16 and 158.67

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Solution

The fourth proportional to 432.60, 649.16 and 158.67 is: 238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.60 : 649.16 = 158.67 : x
  2. Step 2: Convert to fraction form
    432.60/649.16 = 158.67/x
  3. Step 3: Cross multiply
    432.60x = 649.16 × 158.67
  4. Step 4: Simplify right side
    432.60x = 103,002.22
  5. Step 5: Solve for x
    x = 103,002.22/432.60
  6. Step 6: Final answer
    x = 238.10

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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.