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Finding the Fourth Proportional to 211.87, 292.17 and 177.04

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Solution

The fourth proportional to 211.87, 292.17 and 177.04 is: 244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.87 : 292.17 = 177.04 : x
  2. Step 2: Convert to fraction form
    211.87/292.17 = 177.04/x
  3. Step 3: Cross multiply
    211.87x = 292.17 × 177.04
  4. Step 4: Simplify right side
    211.87x = 51,725.78
  5. Step 5: Solve for x
    x = 51,725.78/211.87
  6. Step 6: Final answer
    x = 244.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.