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Finding the Fourth Proportional to 232.93, 349.40 and 70.62

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Solution

The fourth proportional to 232.93, 349.40 and 70.62 is: 105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 349.40 = 70.62 : x
  2. Step 2: Convert to fraction form
    232.93/349.40 = 70.62/x
  3. Step 3: Cross multiply
    232.93x = 349.40 × 70.62
  4. Step 4: Simplify right side
    232.93x = 24,674.02
  5. Step 5: Solve for x
    x = 24,674.02/232.93
  6. Step 6: Final answer
    x = 105.93

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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.