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Finding the Fourth Proportional to 187.57, 280.98 and 138.97

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Solution

The fourth proportional to 187.57, 280.98 and 138.97 is: 208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 280.98 = 138.97 : x
  2. Step 2: Convert to fraction form
    187.57/280.98 = 138.97/x
  3. Step 3: Cross multiply
    187.57x = 280.98 × 138.97
  4. Step 4: Simplify right side
    187.57x = 39,045.69
  5. Step 5: Solve for x
    x = 39,045.69/187.57
  6. Step 6: Final answer
    x = 208.17

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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.