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Finding the Fourth Proportional to 201, 299.93 and 182.82

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Solution

The fourth proportional to 201, 299.93 and 182.82 is: 272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201 : 299.93 = 182.82 : x
  2. Step 2: Convert to fraction form
    201/299.93 = 182.82/x
  3. Step 3: Cross multiply
    201x = 299.93 × 182.82
  4. Step 4: Simplify right side
    201x = 54,833.66
  5. Step 5: Solve for x
    x = 54,833.66/201
  6. Step 6: Final answer
    x = 272.80

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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.