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Finding the Fourth Proportional to 157.50, 236.31 and 70.83

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Solution

The fourth proportional to 157.50, 236.31 and 70.83 is: 106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 236.31 = 70.83 : x
  2. Step 2: Convert to fraction form
    157.50/236.31 = 70.83/x
  3. Step 3: Cross multiply
    157.50x = 236.31 × 70.83
  4. Step 4: Simplify right side
    157.50x = 16,738.10
  5. Step 5: Solve for x
    x = 16,738.10/157.50
  6. Step 6: Final answer
    x = 106.27

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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.