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Finding the Fourth Proportional to 204.46, 307.72 and 153.37

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Solution

The fourth proportional to 204.46, 307.72 and 153.37 is: 230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.46 : 307.72 = 153.37 : x
  2. Step 2: Convert to fraction form
    204.46/307.72 = 153.37/x
  3. Step 3: Cross multiply
    204.46x = 307.72 × 153.37
  4. Step 4: Simplify right side
    204.46x = 47,195.02
  5. Step 5: Solve for x
    x = 47,195.02/204.46
  6. Step 6: Final answer
    x = 230.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.