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Finding the Fourth Proportional to 254.68, 352.20 and 250.07

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Solution

The fourth proportional to 254.68, 352.20 and 250.07 is: 345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.68 : 352.20 = 250.07 : x
  2. Step 2: Convert to fraction form
    254.68/352.20 = 250.07/x
  3. Step 3: Cross multiply
    254.68x = 352.20 × 250.07
  4. Step 4: Simplify right side
    254.68x = 88,072.89
  5. Step 5: Solve for x
    x = 88,072.89/254.68
  6. Step 6: Final answer
    x = 345.82

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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.