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Finding the Fourth Proportional to 226.33, 312.56 and 148.75

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Solution

The fourth proportional to 226.33, 312.56 and 148.75 is: 205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.33 : 312.56 = 148.75 : x
  2. Step 2: Convert to fraction form
    226.33/312.56 = 148.75/x
  3. Step 3: Cross multiply
    226.33x = 312.56 × 148.75
  4. Step 4: Simplify right side
    226.33x = 46,492.56
  5. Step 5: Solve for x
    x = 46,492.56/226.33
  6. Step 6: Final answer
    x = 205.42

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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.