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Finding the Fourth Proportional to 232.32, 320.64 and 224.72

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Solution

The fourth proportional to 232.32, 320.64 and 224.72 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.32 : 320.64 = 224.72 : x
  2. Step 2: Convert to fraction form
    232.32/320.64 = 224.72/x
  3. Step 3: Cross multiply
    232.32x = 320.64 × 224.72
  4. Step 4: Simplify right side
    232.32x = 72,054.22
  5. Step 5: Solve for x
    x = 72,054.22/232.32
  6. Step 6: Final answer
    x = 310.15

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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.