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Finding the Fourth Proportional to 233.74, 348.71 and 222.40

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Solution

The fourth proportional to 233.74, 348.71 and 222.40 is: 331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 348.71 = 222.40 : x
  2. Step 2: Convert to fraction form
    233.74/348.71 = 222.40/x
  3. Step 3: Cross multiply
    233.74x = 348.71 × 222.40
  4. Step 4: Simplify right side
    233.74x = 77,553.10
  5. Step 5: Solve for x
    x = 77,553.10/233.74
  6. Step 6: Final answer
    x = 331.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.