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Finding the Fourth Proportional to 278.46, 418.01 and 141.82

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Solution

The fourth proportional to 278.46, 418.01 and 141.82 is: 212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 418.01 = 141.82 : x
  2. Step 2: Convert to fraction form
    278.46/418.01 = 141.82/x
  3. Step 3: Cross multiply
    278.46x = 418.01 × 141.82
  4. Step 4: Simplify right side
    278.46x = 59,282.18
  5. Step 5: Solve for x
    x = 59,282.18/278.46
  6. Step 6: Final answer
    x = 212.89

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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.