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Finding the Fourth Proportional to 369.72, 553.20 and 222.92

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Solution

The fourth proportional to 369.72, 553.20 and 222.92 is: 333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.72 : 553.20 = 222.92 : x
  2. Step 2: Convert to fraction form
    369.72/553.20 = 222.92/x
  3. Step 3: Cross multiply
    369.72x = 553.20 × 222.92
  4. Step 4: Simplify right side
    369.72x = 123,319.34
  5. Step 5: Solve for x
    x = 123,319.34/369.72
  6. Step 6: Final answer
    x = 333.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.