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Finding the Fourth Proportional to 204.62, 282.36 and 130.92

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Solution

The fourth proportional to 204.62, 282.36 and 130.92 is: 180.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.62 : 282.36 = 130.92 : x
  2. Step 2: Convert to fraction form
    204.62/282.36 = 130.92/x
  3. Step 3: Cross multiply
    204.62x = 282.36 × 130.92
  4. Step 4: Simplify right side
    204.62x = 36,966.00
  5. Step 5: Solve for x
    x = 36,966.00/204.62
  6. Step 6: Final answer
    x = 180.66

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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.