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Finding the Fourth Proportional to 232.54, 318.80 and 228.45

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Solution

The fourth proportional to 232.54, 318.80 and 228.45 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.54 : 318.80 = 228.45 : x
  2. Step 2: Convert to fraction form
    232.54/318.80 = 228.45/x
  3. Step 3: Cross multiply
    232.54x = 318.80 × 228.45
  4. Step 4: Simplify right side
    232.54x = 72,829.86
  5. Step 5: Solve for x
    x = 72,829.86/232.54
  6. Step 6: Final answer
    x = 313.19

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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.