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Finding the Fourth Proportional to 199.76, 297.95 and 182.21

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Solution

The fourth proportional to 199.76, 297.95 and 182.21 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.76 : 297.95 = 182.21 : x
  2. Step 2: Convert to fraction form
    199.76/297.95 = 182.21/x
  3. Step 3: Cross multiply
    199.76x = 297.95 × 182.21
  4. Step 4: Simplify right side
    199.76x = 54,287.07
  5. Step 5: Solve for x
    x = 54,287.07/199.76
  6. Step 6: Final answer
    x = 271.77

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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.