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Finding the Fourth Proportional to 217.08, 325.62 and 101.48

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Solution

The fourth proportional to 217.08, 325.62 and 101.48 is: 152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 325.62 = 101.48 : x
  2. Step 2: Convert to fraction form
    217.08/325.62 = 101.48/x
  3. Step 3: Cross multiply
    217.08x = 325.62 × 101.48
  4. Step 4: Simplify right side
    217.08x = 33,042.29
  5. Step 5: Solve for x
    x = 33,042.29/217.08
  6. Step 6: Final answer
    x = 152.21

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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.