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Finding the Fourth Proportional to 250.33, 345.50 and 157.16

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Solution

The fourth proportional to 250.33, 345.50 and 157.16 is: 216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.33 : 345.50 = 157.16 : x
  2. Step 2: Convert to fraction form
    250.33/345.50 = 157.16/x
  3. Step 3: Cross multiply
    250.33x = 345.50 × 157.16
  4. Step 4: Simplify right side
    250.33x = 54,297.05
  5. Step 5: Solve for x
    x = 54,297.05/250.33
  6. Step 6: Final answer
    x = 216.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.