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Finding the Fourth Proportional to 187.54, 280.80 and 135.90

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Solution

The fourth proportional to 187.54, 280.80 and 135.90 is: 203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.54 : 280.80 = 135.90 : x
  2. Step 2: Convert to fraction form
    187.54/280.80 = 135.90/x
  3. Step 3: Cross multiply
    187.54x = 280.80 × 135.90
  4. Step 4: Simplify right side
    187.54x = 38,160.72
  5. Step 5: Solve for x
    x = 38,160.72/187.54
  6. Step 6: Final answer
    x = 203.48

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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.