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Finding the Fourth Proportional to 254.78, 351.46 and 156.46

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Solution

The fourth proportional to 254.78, 351.46 and 156.46 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.78 : 351.46 = 156.46 : x
  2. Step 2: Convert to fraction form
    254.78/351.46 = 156.46/x
  3. Step 3: Cross multiply
    254.78x = 351.46 × 156.46
  4. Step 4: Simplify right side
    254.78x = 54,989.43
  5. Step 5: Solve for x
    x = 54,989.43/254.78
  6. Step 6: Final answer
    x = 215.83

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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.