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Finding the Fourth Proportional to 157.01, 236.42 and 116.71

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Solution

The fourth proportional to 157.01, 236.42 and 116.71 is: 175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.01 : 236.42 = 116.71 : x
  2. Step 2: Convert to fraction form
    157.01/236.42 = 116.71/x
  3. Step 3: Cross multiply
    157.01x = 236.42 × 116.71
  4. Step 4: Simplify right side
    157.01x = 27,591.84
  5. Step 5: Solve for x
    x = 27,591.84/157.01
  6. Step 6: Final answer
    x = 175.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.