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Finding the Fourth Proportional to 233.12, 349.44 and 146.42

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Solution

The fourth proportional to 233.12, 349.44 and 146.42 is: 219.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 349.44 = 146.42 : x
  2. Step 2: Convert to fraction form
    233.12/349.44 = 146.42/x
  3. Step 3: Cross multiply
    233.12x = 349.44 × 146.42
  4. Step 4: Simplify right side
    233.12x = 51,165.00
  5. Step 5: Solve for x
    x = 51,165.00/233.12
  6. Step 6: Final answer
    x = 219.48

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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.