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Finding the Fourth Proportional to 282.39, 389.52 and 171.94

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Solution

The fourth proportional to 282.39, 389.52 and 171.94 is: 237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.39 : 389.52 = 171.94 : x
  2. Step 2: Convert to fraction form
    282.39/389.52 = 171.94/x
  3. Step 3: Cross multiply
    282.39x = 389.52 × 171.94
  4. Step 4: Simplify right side
    282.39x = 66,973.10
  5. Step 5: Solve for x
    x = 66,973.10/282.39
  6. Step 6: Final answer
    x = 237.17

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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.