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Finding the Fourth Proportional to 230.27, 345.94 and 158.45

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Solution

The fourth proportional to 230.27, 345.94 and 158.45 is: 238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.27 : 345.94 = 158.45 : x
  2. Step 2: Convert to fraction form
    230.27/345.94 = 158.45/x
  3. Step 3: Cross multiply
    230.27x = 345.94 × 158.45
  4. Step 4: Simplify right side
    230.27x = 54,812.07
  5. Step 5: Solve for x
    x = 54,812.07/230.27
  6. Step 6: Final answer
    x = 238.04

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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.