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Finding the Fourth Proportional to 255.71, 352.92 and 156.11

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Solution

The fourth proportional to 255.71, 352.92 and 156.11 is: 215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.71 : 352.92 = 156.11 : x
  2. Step 2: Convert to fraction form
    255.71/352.92 = 156.11/x
  3. Step 3: Cross multiply
    255.71x = 352.92 × 156.11
  4. Step 4: Simplify right side
    255.71x = 55,092.37
  5. Step 5: Solve for x
    x = 55,092.37/255.71
  6. Step 6: Final answer
    x = 215.45

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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.