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Finding the Fourth Proportional to 211.49, 292.06 and 182.10

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Solution

The fourth proportional to 211.49, 292.06 and 182.10 is: 251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.49 : 292.06 = 182.10 : x
  2. Step 2: Convert to fraction form
    211.49/292.06 = 182.10/x
  3. Step 3: Cross multiply
    211.49x = 292.06 × 182.10
  4. Step 4: Simplify right side
    211.49x = 53,182.78
  5. Step 5: Solve for x
    x = 53,182.78/211.49
  6. Step 6: Final answer
    x = 251.47

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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.