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Finding the Fourth Proportional to 278.48, 415.80 and 237.88

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Solution

The fourth proportional to 278.48, 415.80 and 237.88 is: 355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.48 : 415.80 = 237.88 : x
  2. Step 2: Convert to fraction form
    278.48/415.80 = 237.88/x
  3. Step 3: Cross multiply
    278.48x = 415.80 × 237.88
  4. Step 4: Simplify right side
    278.48x = 98,910.50
  5. Step 5: Solve for x
    x = 98,910.50/278.48
  6. Step 6: Final answer
    x = 355.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.