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Finding the Fourth Proportional to 211.10, 315.96 and 165.54

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Solution

The fourth proportional to 211.10, 315.96 and 165.54 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.10 : 315.96 = 165.54 : x
  2. Step 2: Convert to fraction form
    211.10/315.96 = 165.54/x
  3. Step 3: Cross multiply
    211.10x = 315.96 × 165.54
  4. Step 4: Simplify right side
    211.10x = 52,304.02
  5. Step 5: Solve for x
    x = 52,304.02/211.10
  6. Step 6: Final answer
    x = 247.77

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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.