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Finding the Fourth Proportional to 217.51, 325.96 and 101.78

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Solution

The fourth proportional to 217.51, 325.96 and 101.78 is: 152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.51 : 325.96 = 101.78 : x
  2. Step 2: Convert to fraction form
    217.51/325.96 = 101.78/x
  3. Step 3: Cross multiply
    217.51x = 325.96 × 101.78
  4. Step 4: Simplify right side
    217.51x = 33,176.21
  5. Step 5: Solve for x
    x = 33,176.21/217.51
  6. Step 6: Final answer
    x = 152.53

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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.