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Finding the Fourth Proportional to 232.16, 319.98 and 190.40

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Solution

The fourth proportional to 232.16, 319.98 and 190.40 is: 262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.16 : 319.98 = 190.40 : x
  2. Step 2: Convert to fraction form
    232.16/319.98 = 190.40/x
  3. Step 3: Cross multiply
    232.16x = 319.98 × 190.40
  4. Step 4: Simplify right side
    232.16x = 60,924.19
  5. Step 5: Solve for x
    x = 60,924.19/232.16
  6. Step 6: Final answer
    x = 262.42

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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.