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Finding the Fourth Proportional to 158.95, 237.96 and 137.20

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Solution

The fourth proportional to 158.95, 237.96 and 137.20 is: 205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.95 : 237.96 = 137.20 : x
  2. Step 2: Convert to fraction form
    158.95/237.96 = 137.20/x
  3. Step 3: Cross multiply
    158.95x = 237.96 × 137.20
  4. Step 4: Simplify right side
    158.95x = 32,648.11
  5. Step 5: Solve for x
    x = 32,648.11/158.95
  6. Step 6: Final answer
    x = 205.40

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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.