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Finding the Fourth Proportional to 192.02, 286.88 and 182.03

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Solution

The fourth proportional to 192.02, 286.88 and 182.03 is: 271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.02 : 286.88 = 182.03 : x
  2. Step 2: Convert to fraction form
    192.02/286.88 = 182.03/x
  3. Step 3: Cross multiply
    192.02x = 286.88 × 182.03
  4. Step 4: Simplify right side
    192.02x = 52,218.42
  5. Step 5: Solve for x
    x = 52,218.42/192.02
  6. Step 6: Final answer
    x = 271.95

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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.