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Finding the Fourth Proportional to 255.42, 352.34 and 157.20

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Solution

The fourth proportional to 255.42, 352.34 and 157.20 is: 216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.42 : 352.34 = 157.20 : x
  2. Step 2: Convert to fraction form
    255.42/352.34 = 157.20/x
  3. Step 3: Cross multiply
    255.42x = 352.34 × 157.20
  4. Step 4: Simplify right side
    255.42x = 55,387.85
  5. Step 5: Solve for x
    x = 55,387.85/255.42
  6. Step 6: Final answer
    x = 216.85

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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.