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Finding the Fourth Proportional to 278.56, 417.52 and 156.64

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Solution

The fourth proportional to 278.56, 417.52 and 156.64 is: 234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.56 : 417.52 = 156.64 : x
  2. Step 2: Convert to fraction form
    278.56/417.52 = 156.64/x
  3. Step 3: Cross multiply
    278.56x = 417.52 × 156.64
  4. Step 4: Simplify right side
    278.56x = 65,400.33
  5. Step 5: Solve for x
    x = 65,400.33/278.56
  6. Step 6: Final answer
    x = 234.78

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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.