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Finding the Fourth Proportional to 362.41, 500.13 and 222.60

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Solution

The fourth proportional to 362.41, 500.13 and 222.60 is: 307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.41 : 500.13 = 222.60 : x
  2. Step 2: Convert to fraction form
    362.41/500.13 = 222.60/x
  3. Step 3: Cross multiply
    362.41x = 500.13 × 222.60
  4. Step 4: Simplify right side
    362.41x = 111,329.41
  5. Step 5: Solve for x
    x = 111,329.41/362.41
  6. Step 6: Final answer
    x = 307.20

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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.