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Finding the Fourth Proportional to 157.60, 236.34 and 76.36

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Solution

The fourth proportional to 157.60, 236.34 and 76.36 is: 114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.60 : 236.34 = 76.36 : x
  2. Step 2: Convert to fraction form
    157.60/236.34 = 76.36/x
  3. Step 3: Cross multiply
    157.60x = 236.34 × 76.36
  4. Step 4: Simplify right side
    157.60x = 18,046.92
  5. Step 5: Solve for x
    x = 18,046.92/157.60
  6. Step 6: Final answer
    x = 114.51

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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.