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Finding the Fourth Proportional to 278.62, 417.66 and 148.66

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Solution

The fourth proportional to 278.62, 417.66 and 148.66 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.62 : 417.66 = 148.66 : x
  2. Step 2: Convert to fraction form
    278.62/417.66 = 148.66/x
  3. Step 3: Cross multiply
    278.62x = 417.66 × 148.66
  4. Step 4: Simplify right side
    278.62x = 62,089.34
  5. Step 5: Solve for x
    x = 62,089.34/278.62
  6. Step 6: Final answer
    x = 222.85

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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.