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Finding the Fourth Proportional to 342.32, 513.70 and 226.70

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Solution

The fourth proportional to 342.32, 513.70 and 226.70 is: 340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.32 : 513.70 = 226.70 : x
  2. Step 2: Convert to fraction form
    342.32/513.70 = 226.70/x
  3. Step 3: Cross multiply
    342.32x = 513.70 × 226.70
  4. Step 4: Simplify right side
    342.32x = 116,454.58
  5. Step 5: Solve for x
    x = 116,454.58/342.32
  6. Step 6: Final answer
    x = 340.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.