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Finding the Fourth Proportional to 201.24, 299.88 and 192.24

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Solution

The fourth proportional to 201.24, 299.88 and 192.24 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 299.88 = 192.24 : x
  2. Step 2: Convert to fraction form
    201.24/299.88 = 192.24/x
  3. Step 3: Cross multiply
    201.24x = 299.88 × 192.24
  4. Step 4: Simplify right side
    201.24x = 57,648.93
  5. Step 5: Solve for x
    x = 57,648.93/201.24
  6. Step 6: Final answer
    x = 286.47

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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.