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Finding the Fourth Proportional to 204.18, 281.76 and 130.50

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Solution

The fourth proportional to 204.18, 281.76 and 130.50 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.18 : 281.76 = 130.50 : x
  2. Step 2: Convert to fraction form
    204.18/281.76 = 130.50/x
  3. Step 3: Cross multiply
    204.18x = 281.76 × 130.50
  4. Step 4: Simplify right side
    204.18x = 36,769.68
  5. Step 5: Solve for x
    x = 36,769.68/204.18
  6. Step 6: Final answer
    x = 180.08

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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.