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Finding the Fourth Proportional to 211.66, 317.49 and 165.95

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Solution

The fourth proportional to 211.66, 317.49 and 165.95 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.66 : 317.49 = 165.95 : x
  2. Step 2: Convert to fraction form
    211.66/317.49 = 165.95/x
  3. Step 3: Cross multiply
    211.66x = 317.49 × 165.95
  4. Step 4: Simplify right side
    211.66x = 52,686.45
  5. Step 5: Solve for x
    x = 52,686.45/211.66
  6. Step 6: Final answer
    x = 248.92

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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.