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Finding the Fourth Proportional to 278.62, 417.86 and 105.30

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Solution

The fourth proportional to 278.62, 417.86 and 105.30 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.62 : 417.86 = 105.30 : x
  2. Step 2: Convert to fraction form
    278.62/417.86 = 105.30/x
  3. Step 3: Cross multiply
    278.62x = 417.86 × 105.30
  4. Step 4: Simplify right side
    278.62x = 44,001.97
  5. Step 5: Solve for x
    x = 44,001.97/278.62
  6. Step 6: Final answer
    x = 157.93

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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.