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Finding the Fourth Proportional to 185.23, 277.86 and 116.54

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Solution

The fourth proportional to 185.23, 277.86 and 116.54 is: 174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.23 : 277.86 = 116.54 : x
  2. Step 2: Convert to fraction form
    185.23/277.86 = 116.54/x
  3. Step 3: Cross multiply
    185.23x = 277.86 × 116.54
  4. Step 4: Simplify right side
    185.23x = 32,381.80
  5. Step 5: Solve for x
    x = 32,381.80/185.23
  6. Step 6: Final answer
    x = 174.82

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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.