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Finding the Fourth Proportional to 185.59, 277.84 and 116.81

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Solution

The fourth proportional to 185.59, 277.84 and 116.81 is: 174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.59 : 277.84 = 116.81 : x
  2. Step 2: Convert to fraction form
    185.59/277.84 = 116.81/x
  3. Step 3: Cross multiply
    185.59x = 277.84 × 116.81
  4. Step 4: Simplify right side
    185.59x = 32,454.49
  5. Step 5: Solve for x
    x = 32,454.49/185.59
  6. Step 6: Final answer
    x = 174.87

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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.