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Finding the Fourth Proportional to 187.08, 280.62 and 114.92

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Solution

The fourth proportional to 187.08, 280.62 and 114.92 is: 172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.08 : 280.62 = 114.92 : x
  2. Step 2: Convert to fraction form
    187.08/280.62 = 114.92/x
  3. Step 3: Cross multiply
    187.08x = 280.62 × 114.92
  4. Step 4: Simplify right side
    187.08x = 32,248.85
  5. Step 5: Solve for x
    x = 32,248.85/187.08
  6. Step 6: Final answer
    x = 172.38

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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.