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Finding the Fourth Proportional to 388.24, 535.75 and 222.46

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Solution

The fourth proportional to 388.24, 535.75 and 222.46 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.24 : 535.75 = 222.46 : x
  2. Step 2: Convert to fraction form
    388.24/535.75 = 222.46/x
  3. Step 3: Cross multiply
    388.24x = 535.75 × 222.46
  4. Step 4: Simplify right side
    388.24x = 119,182.95
  5. Step 5: Solve for x
    x = 119,182.95/388.24
  6. Step 6: Final answer
    x = 306.98

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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.