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Finding the Fourth Proportional to 369.54, 509.89 and 222.12

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Solution

The fourth proportional to 369.54, 509.89 and 222.12 is: 306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.54 : 509.89 = 222.12 : x
  2. Step 2: Convert to fraction form
    369.54/509.89 = 222.12/x
  3. Step 3: Cross multiply
    369.54x = 509.89 × 222.12
  4. Step 4: Simplify right side
    369.54x = 113,256.77
  5. Step 5: Solve for x
    x = 113,256.77/369.54
  6. Step 6: Final answer
    x = 306.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.