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Finding the Fourth Proportional to 187.18, 280.78 and 106.18

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Solution

The fourth proportional to 187.18, 280.78 and 106.18 is: 159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.18 : 280.78 = 106.18 : x
  2. Step 2: Convert to fraction form
    187.18/280.78 = 106.18/x
  3. Step 3: Cross multiply
    187.18x = 280.78 × 106.18
  4. Step 4: Simplify right side
    187.18x = 29,813.22
  5. Step 5: Solve for x
    x = 29,813.22/187.18
  6. Step 6: Final answer
    x = 159.28

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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.