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Finding the Fourth Proportional to 204.42, 306.59 and 117.86

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Solution

The fourth proportional to 204.42, 306.59 and 117.86 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.42 : 306.59 = 117.86 : x
  2. Step 2: Convert to fraction form
    204.42/306.59 = 117.86/x
  3. Step 3: Cross multiply
    204.42x = 306.59 × 117.86
  4. Step 4: Simplify right side
    204.42x = 36,132.58
  5. Step 5: Solve for x
    x = 36,132.58/204.42
  6. Step 6: Final answer
    x = 176.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.