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Finding the Fourth Proportional to 278.08, 416.52 and 156.40

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Solution

The fourth proportional to 278.08, 416.52 and 156.40 is: 234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.08 : 416.52 = 156.40 : x
  2. Step 2: Convert to fraction form
    278.08/416.52 = 156.40/x
  3. Step 3: Cross multiply
    278.08x = 416.52 × 156.40
  4. Step 4: Simplify right side
    278.08x = 65,143.73
  5. Step 5: Solve for x
    x = 65,143.73/278.08
  6. Step 6: Final answer
    x = 234.26

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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.