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Finding the Fourth Proportional to 432.45, 648.66 and 143.88

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Solution

The fourth proportional to 432.45, 648.66 and 143.88 is: 215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 648.66 = 143.88 : x
  2. Step 2: Convert to fraction form
    432.45/648.66 = 143.88/x
  3. Step 3: Cross multiply
    432.45x = 648.66 × 143.88
  4. Step 4: Simplify right side
    432.45x = 93,329.20
  5. Step 5: Solve for x
    x = 93,329.20/432.45
  6. Step 6: Final answer
    x = 215.82

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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.