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Finding the Fourth Proportional to 255.70, 352.77 and 157.42

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Solution

The fourth proportional to 255.70, 352.77 and 157.42 is: 217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.70 : 352.77 = 157.42 : x
  2. Step 2: Convert to fraction form
    255.70/352.77 = 157.42/x
  3. Step 3: Cross multiply
    255.70x = 352.77 × 157.42
  4. Step 4: Simplify right side
    255.70x = 55,533.05
  5. Step 5: Solve for x
    x = 55,533.05/255.70
  6. Step 6: Final answer
    x = 217.18

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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.