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Finding the Fourth Proportional to 226.43, 312.52 and 128.21

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Solution

The fourth proportional to 226.43, 312.52 and 128.21 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.43 : 312.52 = 128.21 : x
  2. Step 2: Convert to fraction form
    226.43/312.52 = 128.21/x
  3. Step 3: Cross multiply
    226.43x = 312.52 × 128.21
  4. Step 4: Simplify right side
    226.43x = 40,068.19
  5. Step 5: Solve for x
    x = 40,068.19/226.43
  6. Step 6: Final answer
    x = 176.96

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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.