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Finding the Fourth Proportional to 278.16, 417.09 and 141.15

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Solution

The fourth proportional to 278.16, 417.09 and 141.15 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 417.09 = 141.15 : x
  2. Step 2: Convert to fraction form
    278.16/417.09 = 141.15/x
  3. Step 3: Cross multiply
    278.16x = 417.09 × 141.15
  4. Step 4: Simplify right side
    278.16x = 58,872.25
  5. Step 5: Solve for x
    x = 58,872.25/278.16
  6. Step 6: Final answer
    x = 211.65

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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.