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Finding the Fourth Proportional to 232.58, 348.94 and 145.97

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Solution

The fourth proportional to 232.58, 348.94 and 145.97 is: 219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.58 : 348.94 = 145.97 : x
  2. Step 2: Convert to fraction form
    232.58/348.94 = 145.97/x
  3. Step 3: Cross multiply
    232.58x = 348.94 × 145.97
  4. Step 4: Simplify right side
    232.58x = 50,934.77
  5. Step 5: Solve for x
    x = 50,934.77/232.58
  6. Step 6: Final answer
    x = 219.00

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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.