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Finding the Fourth Proportional to 204.32, 281.96 and 117.00

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Solution

The fourth proportional to 204.32, 281.96 and 117.00 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.32 : 281.96 = 117.00 : x
  2. Step 2: Convert to fraction form
    204.32/281.96 = 117.00/x
  3. Step 3: Cross multiply
    204.32x = 281.96 × 117.00
  4. Step 4: Simplify right side
    204.32x = 32,988.20
  5. Step 5: Solve for x
    x = 32,988.20/204.32
  6. Step 6: Final answer
    x = 161.45

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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.