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Finding the Fourth Proportional to 232.80, 319.16 and 228.72

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Solution

The fourth proportional to 232.80, 319.16 and 228.72 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 319.16 = 228.72 : x
  2. Step 2: Convert to fraction form
    232.80/319.16 = 228.72/x
  3. Step 3: Cross multiply
    232.80x = 319.16 × 228.72
  4. Step 4: Simplify right side
    232.80x = 72,998.28
  5. Step 5: Solve for x
    x = 72,998.28/232.80
  6. Step 6: Final answer
    x = 313.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.