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Finding the Fourth Proportional to 278.06, 417.12 and 123.92

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Solution

The fourth proportional to 278.06, 417.12 and 123.92 is: 185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 417.12 = 123.92 : x
  2. Step 2: Convert to fraction form
    278.06/417.12 = 123.92/x
  3. Step 3: Cross multiply
    278.06x = 417.12 × 123.92
  4. Step 4: Simplify right side
    278.06x = 51,689.51
  5. Step 5: Solve for x
    x = 51,689.51/278.06
  6. Step 6: Final answer
    x = 185.89

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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.