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Finding the Fourth Proportional to 278.25, 416.81 and 232.46

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Solution

The fourth proportional to 278.25, 416.81 and 232.46 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 416.81 = 232.46 : x
  2. Step 2: Convert to fraction form
    278.25/416.81 = 232.46/x
  3. Step 3: Cross multiply
    278.25x = 416.81 × 232.46
  4. Step 4: Simplify right side
    278.25x = 96,888.41
  5. Step 5: Solve for x
    x = 96,888.41/278.25
  6. Step 6: Final answer
    x = 348.21

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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.