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Finding the Fourth Proportional to 389.76, 584.16 and 132.96

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Solution

The fourth proportional to 389.76, 584.16 and 132.96 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.76 : 584.16 = 132.96 : x
  2. Step 2: Convert to fraction form
    389.76/584.16 = 132.96/x
  3. Step 3: Cross multiply
    389.76x = 584.16 × 132.96
  4. Step 4: Simplify right side
    389.76x = 77,669.91
  5. Step 5: Solve for x
    x = 77,669.91/389.76
  6. Step 6: Final answer
    x = 199.28

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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.