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Finding the Fourth Proportional to 187.42, 280.98 and 106.15

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Solution

The fourth proportional to 187.42, 280.98 and 106.15 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.42 : 280.98 = 106.15 : x
  2. Step 2: Convert to fraction form
    187.42/280.98 = 106.15/x
  3. Step 3: Cross multiply
    187.42x = 280.98 × 106.15
  4. Step 4: Simplify right side
    187.42x = 29,826.03
  5. Step 5: Solve for x
    x = 29,826.03/187.42
  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.