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Finding the Fourth Proportional to 157.50, 236.22 and 76.20

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Solution

The fourth proportional to 157.50, 236.22 and 76.20 is: 114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 236.22 = 76.20 : x
  2. Step 2: Convert to fraction form
    157.50/236.22 = 76.20/x
  3. Step 3: Cross multiply
    157.50x = 236.22 × 76.20
  4. Step 4: Simplify right side
    157.50x = 17,999.96
  5. Step 5: Solve for x
    x = 17,999.96/157.50
  6. Step 6: Final answer
    x = 114.29

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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.