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Finding the Fourth Proportional to 389.32, 584.16 and 158.14

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Solution

The fourth proportional to 389.32, 584.16 and 158.14 is: 237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.32 : 584.16 = 158.14 : x
  2. Step 2: Convert to fraction form
    389.32/584.16 = 158.14/x
  3. Step 3: Cross multiply
    389.32x = 584.16 × 158.14
  4. Step 4: Simplify right side
    389.32x = 92,379.06
  5. Step 5: Solve for x
    x = 92,379.06/389.32
  6. Step 6: Final answer
    x = 237.28

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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.