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Finding the Fourth Proportional to 187.92, 280.32 and 169.68

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Solution

The fourth proportional to 187.92, 280.32 and 169.68 is: 253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 280.32 = 169.68 : x
  2. Step 2: Convert to fraction form
    187.92/280.32 = 169.68/x
  3. Step 3: Cross multiply
    187.92x = 280.32 × 169.68
  4. Step 4: Simplify right side
    187.92x = 47,564.70
  5. Step 5: Solve for x
    x = 47,564.70/187.92
  6. Step 6: Final answer
    x = 253.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.