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Finding the Fourth Proportional to 282.04, 389.42 and 177.18

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Solution

The fourth proportional to 282.04, 389.42 and 177.18 is: 244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.04 : 389.42 = 177.18 : x
  2. Step 2: Convert to fraction form
    282.04/389.42 = 177.18/x
  3. Step 3: Cross multiply
    282.04x = 389.42 × 177.18
  4. Step 4: Simplify right side
    282.04x = 68,997.44
  5. Step 5: Solve for x
    x = 68,997.44/282.04
  6. Step 6: Final answer
    x = 244.64

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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.