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Finding the Fourth Proportional to 229.74, 343.95 and 215.33

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Solution

The fourth proportional to 229.74, 343.95 and 215.33 is: 322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.74 : 343.95 = 215.33 : x
  2. Step 2: Convert to fraction form
    229.74/343.95 = 215.33/x
  3. Step 3: Cross multiply
    229.74x = 343.95 × 215.33
  4. Step 4: Simplify right side
    229.74x = 74,060.23
  5. Step 5: Solve for x
    x = 74,060.23/229.74
  6. Step 6: Final answer
    x = 322.37

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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.