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Finding the Fourth Proportional to 158.12, 237.20 and 138.07

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Solution

The fourth proportional to 158.12, 237.20 and 138.07 is: 207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.12 : 237.20 = 138.07 : x
  2. Step 2: Convert to fraction form
    158.12/237.20 = 138.07/x
  3. Step 3: Cross multiply
    158.12x = 237.20 × 138.07
  4. Step 4: Simplify right side
    158.12x = 32,749.81
  5. Step 5: Solve for x
    x = 32,749.81/158.12
  6. Step 6: Final answer
    x = 207.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.