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Finding the Fourth Proportional to 187.60, 280.86 and 106.30

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Solution

The fourth proportional to 187.60, 280.86 and 106.30 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.60 : 280.86 = 106.30 : x
  2. Step 2: Convert to fraction form
    187.60/280.86 = 106.30/x
  3. Step 3: Cross multiply
    187.60x = 280.86 × 106.30
  4. Step 4: Simplify right side
    187.60x = 29,855.42
  5. Step 5: Solve for x
    x = 29,855.42/187.60
  6. Step 6: Final answer
    x = 159.14

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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.