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Finding the Fourth Proportional to 252.72, 377.51 and 211.71

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Solution

The fourth proportional to 252.72, 377.51 and 211.71 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.72 : 377.51 = 211.71 : x
  2. Step 2: Convert to fraction form
    252.72/377.51 = 211.71/x
  3. Step 3: Cross multiply
    252.72x = 377.51 × 211.71
  4. Step 4: Simplify right side
    252.72x = 79,924.19
  5. Step 5: Solve for x
    x = 79,924.19/252.72
  6. Step 6: Final answer
    x = 316.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.