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Finding the Fourth Proportional to 342.12, 471.78 and 225.72

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Solution

The fourth proportional to 342.12, 471.78 and 225.72 is: 311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 471.78 = 225.72 : x
  2. Step 2: Convert to fraction form
    342.12/471.78 = 225.72/x
  3. Step 3: Cross multiply
    342.12x = 471.78 × 225.72
  4. Step 4: Simplify right side
    342.12x = 106,490.18
  5. Step 5: Solve for x
    x = 106,490.18/342.12
  6. Step 6: Final answer
    x = 311.27

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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.