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Finding the Fourth Proportional to 282.14, 389.47 and 171.65

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Solution

The fourth proportional to 282.14, 389.47 and 171.65 is: 236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.14 : 389.47 = 171.65 : x
  2. Step 2: Convert to fraction form
    282.14/389.47 = 171.65/x
  3. Step 3: Cross multiply
    282.14x = 389.47 × 171.65
  4. Step 4: Simplify right side
    282.14x = 66,851.67
  5. Step 5: Solve for x
    x = 66,851.67/282.14
  6. Step 6: Final answer
    x = 236.95

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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.