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Finding the Fourth Proportional to 255.14, 352.04 and 156.92

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Solution

The fourth proportional to 255.14, 352.04 and 156.92 is: 216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.14 : 352.04 = 156.92 : x
  2. Step 2: Convert to fraction form
    255.14/352.04 = 156.92/x
  3. Step 3: Cross multiply
    255.14x = 352.04 × 156.92
  4. Step 4: Simplify right side
    255.14x = 55,239.57
  5. Step 5: Solve for x
    x = 55,239.57/255.14
  6. Step 6: Final answer
    x = 216.51

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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.