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Finding the Fourth Proportional to 432.76, 648.96 and 144.12

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Solution

The fourth proportional to 432.76, 648.96 and 144.12 is: 216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.76 : 648.96 = 144.12 : x
  2. Step 2: Convert to fraction form
    432.76/648.96 = 144.12/x
  3. Step 3: Cross multiply
    432.76x = 648.96 × 144.12
  4. Step 4: Simplify right side
    432.76x = 93,528.12
  5. Step 5: Solve for x
    x = 93,528.12/432.76
  6. Step 6: Final answer
    x = 216.12

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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.