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Finding the Fourth Proportional to 432.52, 648.26 and 158.46

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Solution

The fourth proportional to 432.52, 648.26 and 158.46 is: 237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.52 : 648.26 = 158.46 : x
  2. Step 2: Convert to fraction form
    432.52/648.26 = 158.46/x
  3. Step 3: Cross multiply
    432.52x = 648.26 × 158.46
  4. Step 4: Simplify right side
    432.52x = 102,723.08
  5. Step 5: Solve for x
    x = 102,723.08/432.52
  6. Step 6: Final answer
    x = 237.50

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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.