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Finding the Fourth Proportional to 157.97, 237.06 and 117.27

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Solution

The fourth proportional to 157.97, 237.06 and 117.27 is: 175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.97 : 237.06 = 117.27 : x
  2. Step 2: Convert to fraction form
    157.97/237.06 = 117.27/x
  3. Step 3: Cross multiply
    157.97x = 237.06 × 117.27
  4. Step 4: Simplify right side
    157.97x = 27,800.03
  5. Step 5: Solve for x
    x = 27,800.03/157.97
  6. Step 6: Final answer
    x = 175.99

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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.