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Finding the Fourth Proportional to 282.52, 389.82 and 184.12

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Solution

The fourth proportional to 282.52, 389.82 and 184.12 is: 254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.52 : 389.82 = 184.12 : x
  2. Step 2: Convert to fraction form
    282.52/389.82 = 184.12/x
  3. Step 3: Cross multiply
    282.52x = 389.82 × 184.12
  4. Step 4: Simplify right side
    282.52x = 71,773.66
  5. Step 5: Solve for x
    x = 71,773.66/282.52
  6. Step 6: Final answer
    x = 254.05

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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.