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Finding the Fourth Proportional to 211.41, 291.65 and 182.25

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Solution

The fourth proportional to 211.41, 291.65 and 182.25 is: 251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.41 : 291.65 = 182.25 : x
  2. Step 2: Convert to fraction form
    211.41/291.65 = 182.25/x
  3. Step 3: Cross multiply
    211.41x = 291.65 × 182.25
  4. Step 4: Simplify right side
    211.41x = 53,152.30
  5. Step 5: Solve for x
    x = 53,152.30/211.41
  6. Step 6: Final answer
    x = 251.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.