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Finding the Fourth Proportional to 255.28, 352.15 and 156.96

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Solution

The fourth proportional to 255.28, 352.15 and 156.96 is: 216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.28 : 352.15 = 156.96 : x
  2. Step 2: Convert to fraction form
    255.28/352.15 = 156.96/x
  3. Step 3: Cross multiply
    255.28x = 352.15 × 156.96
  4. Step 4: Simplify right side
    255.28x = 55,273.46
  5. Step 5: Solve for x
    x = 55,273.46/255.28
  6. Step 6: Final answer
    x = 216.52

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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.