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Finding the Fourth Proportional to 278.73, 418.13 and 148.86

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Solution

The fourth proportional to 278.73, 418.13 and 148.86 is: 223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 418.13 = 148.86 : x
  2. Step 2: Convert to fraction form
    278.73/418.13 = 148.86/x
  3. Step 3: Cross multiply
    278.73x = 418.13 × 148.86
  4. Step 4: Simplify right side
    278.73x = 62,242.09
  5. Step 5: Solve for x
    x = 62,242.09/278.73
  6. Step 6: Final answer
    x = 223.31

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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.