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Finding the Fourth Proportional to 255.14, 352.01 and 156.86

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Solution

The fourth proportional to 255.14, 352.01 and 156.86 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.14 : 352.01 = 156.86 : x
  2. Step 2: Convert to fraction form
    255.14/352.01 = 156.86/x
  3. Step 3: Cross multiply
    255.14x = 352.01 × 156.86
  4. Step 4: Simplify right side
    255.14x = 55,216.29
  5. Step 5: Solve for x
    x = 55,216.29/255.14
  6. Step 6: Final answer
    x = 216.42

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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.