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Finding the Fourth Proportional to 204.53, 282.19 and 125.77

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Solution

The fourth proportional to 204.53, 282.19 and 125.77 is: 173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 282.19 = 125.77 : x
  2. Step 2: Convert to fraction form
    204.53/282.19 = 125.77/x
  3. Step 3: Cross multiply
    204.53x = 282.19 × 125.77
  4. Step 4: Simplify right side
    204.53x = 35,490.02
  5. Step 5: Solve for x
    x = 35,490.02/204.53
  6. Step 6: Final answer
    x = 173.52

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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.