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Finding the Fourth Proportional to 278.06, 416.82 and 156.38

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Solution

The fourth proportional to 278.06, 416.82 and 156.38 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.06 : 416.82 = 156.38 : x
  2. Step 2: Convert to fraction form
    278.06/416.82 = 156.38/x
  3. Step 3: Cross multiply
    278.06x = 416.82 × 156.38
  4. Step 4: Simplify right side
    278.06x = 65,182.31
  5. Step 5: Solve for x
    x = 65,182.31/278.06
  6. Step 6: Final answer
    x = 234.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.