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Finding the Fourth Proportional to 278.45, 417.27 and 156.75

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Solution

The fourth proportional to 278.45, 417.27 and 156.75 is: 234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.45 : 417.27 = 156.75 : x
  2. Step 2: Convert to fraction form
    278.45/417.27 = 156.75/x
  3. Step 3: Cross multiply
    278.45x = 417.27 × 156.75
  4. Step 4: Simplify right side
    278.45x = 65,407.07
  5. Step 5: Solve for x
    x = 65,407.07/278.45
  6. Step 6: Final answer
    x = 234.90

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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.