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Finding the Fourth Proportional to 252.32, 346.33 and 224.06

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Solution

The fourth proportional to 252.32, 346.33 and 224.06 is: 307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 346.33 = 224.06 : x
  2. Step 2: Convert to fraction form
    252.32/346.33 = 224.06/x
  3. Step 3: Cross multiply
    252.32x = 346.33 × 224.06
  4. Step 4: Simplify right side
    252.32x = 77,597.25
  5. Step 5: Solve for x
    x = 77,597.25/252.32
  6. Step 6: Final answer
    x = 307.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.