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Finding the Fourth Proportional to 226.65, 312.75 and 133.42

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Solution

The fourth proportional to 226.65, 312.75 and 133.42 is: 184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.65 : 312.75 = 133.42 : x
  2. Step 2: Convert to fraction form
    226.65/312.75 = 133.42/x
  3. Step 3: Cross multiply
    226.65x = 312.75 × 133.42
  4. Step 4: Simplify right side
    226.65x = 41,726.35
  5. Step 5: Solve for x
    x = 41,726.35/226.65
  6. Step 6: Final answer
    x = 184.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.