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Finding the Fourth Proportional to 157.28, 217.36 and 138.08

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Solution

The fourth proportional to 157.28, 217.36 and 138.08 is: 190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.28 : 217.36 = 138.08 : x
  2. Step 2: Convert to fraction form
    157.28/217.36 = 138.08/x
  3. Step 3: Cross multiply
    157.28x = 217.36 × 138.08
  4. Step 4: Simplify right side
    157.28x = 30,013.07
  5. Step 5: Solve for x
    x = 30,013.07/157.28
  6. Step 6: Final answer
    x = 190.83

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Why These Related Problems?

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