Home / 278.20-417.18-141.16

Finding the Fourth Proportional to 278.20, 417.18 and 141.16

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Solution

The fourth proportional to 278.20, 417.18 and 141.16 is: 211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.20 : 417.18 = 141.16 : x
  2. Step 2: Convert to fraction form
    278.20/417.18 = 141.16/x
  3. Step 3: Cross multiply
    278.20x = 417.18 × 141.16
  4. Step 4: Simplify right side
    278.20x = 58,889.13
  5. Step 5: Solve for x
    x = 58,889.13/278.20
  6. Step 6: Final answer
    x = 211.68

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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.