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Finding the Fourth Proportional to 216.86, 325.40 and 165.47

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Solution

The fourth proportional to 216.86, 325.40 and 165.47 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.86 : 325.40 = 165.47 : x
  2. Step 2: Convert to fraction form
    216.86/325.40 = 165.47/x
  3. Step 3: Cross multiply
    216.86x = 325.40 × 165.47
  4. Step 4: Simplify right side
    216.86x = 53,841.48
  5. Step 5: Solve for x
    x = 53,841.48/216.86
  6. Step 6: Final answer
    x = 248.28

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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.