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Finding the Fourth Proportional to 158.34, 237.61 and 136.82

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Solution

The fourth proportional to 158.34, 237.61 and 136.82 is: 205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.34 : 237.61 = 136.82 : x
  2. Step 2: Convert to fraction form
    158.34/237.61 = 136.82/x
  3. Step 3: Cross multiply
    158.34x = 237.61 × 136.82
  4. Step 4: Simplify right side
    158.34x = 32,510.18
  5. Step 5: Solve for x
    x = 32,510.18/158.34
  6. Step 6: Final answer
    x = 205.32

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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.