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Finding the Fourth Proportional to 238.15, 328.62 and 149.59

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Solution

The fourth proportional to 238.15, 328.62 and 149.59 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.15 : 328.62 = 149.59 : x
  2. Step 2: Convert to fraction form
    238.15/328.62 = 149.59/x
  3. Step 3: Cross multiply
    238.15x = 328.62 × 149.59
  4. Step 4: Simplify right side
    238.15x = 49,158.27
  5. Step 5: Solve for x
    x = 49,158.27/238.15
  6. Step 6: Final answer
    x = 206.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.