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Finding the Fourth Proportional to 254.78, 351.26 and 207.58

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Solution

The fourth proportional to 254.78, 351.26 and 207.58 is: 286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.78 : 351.26 = 207.58 : x
  2. Step 2: Convert to fraction form
    254.78/351.26 = 207.58/x
  3. Step 3: Cross multiply
    254.78x = 351.26 × 207.58
  4. Step 4: Simplify right side
    254.78x = 72,914.55
  5. Step 5: Solve for x
    x = 72,914.55/254.78
  6. Step 6: Final answer
    x = 286.19

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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.