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Finding the Fourth Proportional to 185.04, 277.68 and 124.56

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Solution

The fourth proportional to 185.04, 277.68 and 124.56 is: 186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.04 : 277.68 = 124.56 : x
  2. Step 2: Convert to fraction form
    185.04/277.68 = 124.56/x
  3. Step 3: Cross multiply
    185.04x = 277.68 × 124.56
  4. Step 4: Simplify right side
    185.04x = 34,587.82
  5. Step 5: Solve for x
    x = 34,587.82/185.04
  6. Step 6: Final answer
    x = 186.92

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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.