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Finding the Fourth Proportional to 250.24, 345.37 and 150.70

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Solution

The fourth proportional to 250.24, 345.37 and 150.70 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.24 : 345.37 = 150.70 : x
  2. Step 2: Convert to fraction form
    250.24/345.37 = 150.70/x
  3. Step 3: Cross multiply
    250.24x = 345.37 × 150.70
  4. Step 4: Simplify right side
    250.24x = 52,046.02
  5. Step 5: Solve for x
    x = 52,046.02/250.24
  6. Step 6: Final answer
    x = 207.99

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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.