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Finding the Fourth Proportional to 255.42, 352.68 and 224.70

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Solution

The fourth proportional to 255.42, 352.68 and 224.70 is: 310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.42 : 352.68 = 224.70 : x
  2. Step 2: Convert to fraction form
    255.42/352.68 = 224.70/x
  3. Step 3: Cross multiply
    255.42x = 352.68 × 224.70
  4. Step 4: Simplify right side
    255.42x = 79,247.20
  5. Step 5: Solve for x
    x = 79,247.20/255.42
  6. Step 6: Final answer
    x = 310.26

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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.