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Finding the Fourth Proportional to 278.93, 418.36 and 141.92

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Solution

The fourth proportional to 278.93, 418.36 and 141.92 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.93 : 418.36 = 141.92 : x
  2. Step 2: Convert to fraction form
    278.93/418.36 = 141.92/x
  3. Step 3: Cross multiply
    278.93x = 418.36 × 141.92
  4. Step 4: Simplify right side
    278.93x = 59,373.65
  5. Step 5: Solve for x
    x = 59,373.65/278.93
  6. Step 6: Final answer
    x = 212.86

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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.