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Finding the Fourth Proportional to 362.42, 500.00 and 220.50

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Solution

The fourth proportional to 362.42, 500.00 and 220.50 is: 304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.42 : 500.00 = 220.50 : x
  2. Step 2: Convert to fraction form
    362.42/500.00 = 220.50/x
  3. Step 3: Cross multiply
    362.42x = 500.00 × 220.50
  4. Step 4: Simplify right side
    362.42x = 110,248.90
  5. Step 5: Solve for x
    x = 110,248.90/362.42
  6. Step 6: Final answer
    x = 304.21

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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.