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Finding the Fourth Proportional to 278.78, 417.76 and 124.61

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Solution

The fourth proportional to 278.78, 417.76 and 124.61 is: 186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.78 : 417.76 = 124.61 : x
  2. Step 2: Convert to fraction form
    278.78/417.76 = 124.61/x
  3. Step 3: Cross multiply
    278.78x = 417.76 × 124.61
  4. Step 4: Simplify right side
    278.78x = 52,054.67
  5. Step 5: Solve for x
    x = 52,054.67/278.78
  6. Step 6: Final answer
    x = 186.73

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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.