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Finding the Fourth Proportional to 232.34, 320.61 and 143.83

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Solution

The fourth proportional to 232.34, 320.61 and 143.83 is: 198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 320.61 = 143.83 : x
  2. Step 2: Convert to fraction form
    232.34/320.61 = 143.83/x
  3. Step 3: Cross multiply
    232.34x = 320.61 × 143.83
  4. Step 4: Simplify right side
    232.34x = 46,111.66
  5. Step 5: Solve for x
    x = 46,111.66/232.34
  6. Step 6: Final answer
    x = 198.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.