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Finding the Fourth Proportional to 282.48, 389.57 and 184.13

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Solution

The fourth proportional to 282.48, 389.57 and 184.13 is: 253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.48 : 389.57 = 184.13 : x
  2. Step 2: Convert to fraction form
    282.48/389.57 = 184.13/x
  3. Step 3: Cross multiply
    282.48x = 389.57 × 184.13
  4. Step 4: Simplify right side
    282.48x = 71,728.66
  5. Step 5: Solve for x
    x = 71,728.66/282.48
  6. Step 6: Final answer
    x = 253.92

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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.