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Finding the Fourth Proportional to 157.38, 217.03 and 127.86

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Solution

The fourth proportional to 157.38, 217.03 and 127.86 is: 176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 217.03 = 127.86 : x
  2. Step 2: Convert to fraction form
    157.38/217.03 = 127.86/x
  3. Step 3: Cross multiply
    157.38x = 217.03 × 127.86
  4. Step 4: Simplify right side
    157.38x = 27,749.46
  5. Step 5: Solve for x
    x = 27,749.46/157.38
  6. Step 6: Final answer
    x = 176.32

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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.