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Finding the Fourth Proportional to 217.09, 325.64 and 114.23

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Solution

The fourth proportional to 217.09, 325.64 and 114.23 is: 171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.09 : 325.64 = 114.23 : x
  2. Step 2: Convert to fraction form
    217.09/325.64 = 114.23/x
  3. Step 3: Cross multiply
    217.09x = 325.64 × 114.23
  4. Step 4: Simplify right side
    217.09x = 37,197.86
  5. Step 5: Solve for x
    x = 37,197.86/217.09
  6. Step 6: Final answer
    x = 171.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.