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Finding the Fourth Proportional to 278.68, 417.48 and 187.12

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Solution

The fourth proportional to 278.68, 417.48 and 187.12 is: 280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.68 : 417.48 = 187.12 : x
  2. Step 2: Convert to fraction form
    278.68/417.48 = 187.12/x
  3. Step 3: Cross multiply
    278.68x = 417.48 × 187.12
  4. Step 4: Simplify right side
    278.68x = 78,118.86
  5. Step 5: Solve for x
    x = 78,118.86/278.68
  6. Step 6: Final answer
    x = 280.32

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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.