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Finding the Fourth Proportional to 211.24, 316.81 and 165.48

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Solution

The fourth proportional to 211.24, 316.81 and 165.48 is: 248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.24 : 316.81 = 165.48 : x
  2. Step 2: Convert to fraction form
    211.24/316.81 = 165.48/x
  3. Step 3: Cross multiply
    211.24x = 316.81 × 165.48
  4. Step 4: Simplify right side
    211.24x = 52,425.72
  5. Step 5: Solve for x
    x = 52,425.72/211.24
  6. Step 6: Final answer
    x = 248.18

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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.