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Finding the Fourth Proportional to 250.87, 345.74 and 180.81

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Solution

The fourth proportional to 250.87, 345.74 and 180.81 is: 249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.87 : 345.74 = 180.81 : x
  2. Step 2: Convert to fraction form
    250.87/345.74 = 180.81/x
  3. Step 3: Cross multiply
    250.87x = 345.74 × 180.81
  4. Step 4: Simplify right side
    250.87x = 62,512.35
  5. Step 5: Solve for x
    x = 62,512.35/250.87
  6. Step 6: Final answer
    x = 249.18

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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.