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Finding the Fourth Proportional to 158.14, 236.26 and 157.24

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Solution

The fourth proportional to 158.14, 236.26 and 157.24 is: 234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 236.26 = 157.24 : x
  2. Step 2: Convert to fraction form
    158.14/236.26 = 157.24/x
  3. Step 3: Cross multiply
    158.14x = 236.26 × 157.24
  4. Step 4: Simplify right side
    158.14x = 37,149.52
  5. Step 5: Solve for x
    x = 37,149.52/158.14
  6. Step 6: Final answer
    x = 234.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.