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Finding the Fourth Proportional to 282.31, 389.64 and 171.86

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Solution

The fourth proportional to 282.31, 389.64 and 171.86 is: 237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.31 : 389.64 = 171.86 : x
  2. Step 2: Convert to fraction form
    282.31/389.64 = 171.86/x
  3. Step 3: Cross multiply
    282.31x = 389.64 × 171.86
  4. Step 4: Simplify right side
    282.31x = 66,962.42
  5. Step 5: Solve for x
    x = 66,962.42/282.31
  6. Step 6: Final answer
    x = 237.19

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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.