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Finding the Fourth Proportional to 222.29, 332.91 and 153.48

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Solution

The fourth proportional to 222.29, 332.91 and 153.48 is: 229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.29 : 332.91 = 153.48 : x
  2. Step 2: Convert to fraction form
    222.29/332.91 = 153.48/x
  3. Step 3: Cross multiply
    222.29x = 332.91 × 153.48
  4. Step 4: Simplify right side
    222.29x = 51,095.03
  5. Step 5: Solve for x
    x = 51,095.03/222.29
  6. Step 6: Final answer
    x = 229.86

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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.