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Finding the Fourth Proportional to 233.82, 349.00 and 215.53

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Solution

The fourth proportional to 233.82, 349.00 and 215.53 is: 321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 349.00 = 215.53 : x
  2. Step 2: Convert to fraction form
    233.82/349.00 = 215.53/x
  3. Step 3: Cross multiply
    233.82x = 349.00 × 215.53
  4. Step 4: Simplify right side
    233.82x = 75,218.56
  5. Step 5: Solve for x
    x = 75,218.56/233.82
  6. Step 6: Final answer
    x = 321.69

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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.