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Finding the Fourth Proportional to 254.76, 351.49 and 156.54

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Solution

The fourth proportional to 254.76, 351.49 and 156.54 is: 215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.76 : 351.49 = 156.54 : x
  2. Step 2: Convert to fraction form
    254.76/351.49 = 156.54/x
  3. Step 3: Cross multiply
    254.76x = 351.49 × 156.54
  4. Step 4: Simplify right side
    254.76x = 55,022.24
  5. Step 5: Solve for x
    x = 55,022.24/254.76
  6. Step 6: Final answer
    x = 215.98

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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.