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Finding the Fourth Proportional to 250.45, 345.48 and 157.17

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Solution

The fourth proportional to 250.45, 345.48 and 157.17 is: 216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.45 : 345.48 = 157.17 : x
  2. Step 2: Convert to fraction form
    250.45/345.48 = 157.17/x
  3. Step 3: Cross multiply
    250.45x = 345.48 × 157.17
  4. Step 4: Simplify right side
    250.45x = 54,299.09
  5. Step 5: Solve for x
    x = 54,299.09/250.45
  6. Step 6: Final answer
    x = 216.81

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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.