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Finding the Fourth Proportional to 278.46, 418.45 and 148.55

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Solution

The fourth proportional to 278.46, 418.45 and 148.55 is: 223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 418.45 = 148.55 : x
  2. Step 2: Convert to fraction form
    278.46/418.45 = 148.55/x
  3. Step 3: Cross multiply
    278.46x = 418.45 × 148.55
  4. Step 4: Simplify right side
    278.46x = 62,161.42
  5. Step 5: Solve for x
    x = 62,161.42/278.46
  6. Step 6: Final answer
    x = 223.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.