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Finding the Fourth Proportional to 204.72, 307.07 and 158.95

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Solution

The fourth proportional to 204.72, 307.07 and 158.95 is: 238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 307.07 = 158.95 : x
  2. Step 2: Convert to fraction form
    204.72/307.07 = 158.95/x
  3. Step 3: Cross multiply
    204.72x = 307.07 × 158.95
  4. Step 4: Simplify right side
    204.72x = 48,808.78
  5. Step 5: Solve for x
    x = 48,808.78/204.72
  6. Step 6: Final answer
    x = 238.42

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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.