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Finding the Fourth Proportional to 217.06, 299.40 and 151.48

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Solution

The fourth proportional to 217.06, 299.40 and 151.48 is: 208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.06 : 299.40 = 151.48 : x
  2. Step 2: Convert to fraction form
    217.06/299.40 = 151.48/x
  3. Step 3: Cross multiply
    217.06x = 299.40 × 151.48
  4. Step 4: Simplify right side
    217.06x = 45,353.11
  5. Step 5: Solve for x
    x = 45,353.11/217.06
  6. Step 6: Final answer
    x = 208.94

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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.