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Finding the Fourth Proportional to 205.53, 307.71 and 136.89

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Solution

The fourth proportional to 205.53, 307.71 and 136.89 is: 204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 307.71 = 136.89 : x
  2. Step 2: Convert to fraction form
    205.53/307.71 = 136.89/x
  3. Step 3: Cross multiply
    205.53x = 307.71 × 136.89
  4. Step 4: Simplify right side
    205.53x = 42,122.42
  5. Step 5: Solve for x
    x = 42,122.42/205.53
  6. Step 6: Final answer
    x = 204.95

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