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Finding the Fourth Proportional to 226.47, 312.51 and 128.25

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Solution

The fourth proportional to 226.47, 312.51 and 128.25 is: 176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.47 : 312.51 = 128.25 : x
  2. Step 2: Convert to fraction form
    226.47/312.51 = 128.25/x
  3. Step 3: Cross multiply
    226.47x = 312.51 × 128.25
  4. Step 4: Simplify right side
    226.47x = 40,079.41
  5. Step 5: Solve for x
    x = 40,079.41/226.47
  6. Step 6: Final answer
    x = 176.97

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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.