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Finding the Fourth Proportional to 432.94, 649.24 and 158.95

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Solution

The fourth proportional to 432.94, 649.24 and 158.95 is: 238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.94 : 649.24 = 158.95 : x
  2. Step 2: Convert to fraction form
    432.94/649.24 = 158.95/x
  3. Step 3: Cross multiply
    432.94x = 649.24 × 158.95
  4. Step 4: Simplify right side
    432.94x = 103,196.70
  5. Step 5: Solve for x
    x = 103,196.70/432.94
  6. Step 6: Final answer
    x = 238.36

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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.