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Finding the Fourth Proportional to 227.19, 340.78 and 146.08

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Solution

The fourth proportional to 227.19, 340.78 and 146.08 is: 219.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.19 : 340.78 = 146.08 : x
  2. Step 2: Convert to fraction form
    227.19/340.78 = 146.08/x
  3. Step 3: Cross multiply
    227.19x = 340.78 × 146.08
  4. Step 4: Simplify right side
    227.19x = 49,781.14
  5. Step 5: Solve for x
    x = 49,781.14/227.19
  6. Step 6: Final answer
    x = 219.12

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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.