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Finding the Fourth Proportional to 217.06, 299.48 and 134.18

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Solution

The fourth proportional to 217.06, 299.48 and 134.18 is: 185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.06 : 299.48 = 134.18 : x
  2. Step 2: Convert to fraction form
    217.06/299.48 = 134.18/x
  3. Step 3: Cross multiply
    217.06x = 299.48 × 134.18
  4. Step 4: Simplify right side
    217.06x = 40,184.23
  5. Step 5: Solve for x
    x = 40,184.23/217.06
  6. Step 6: Final answer
    x = 185.13

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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.