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Finding the Fourth Proportional to 201.24, 300.27 and 175.53

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Solution

The fourth proportional to 201.24, 300.27 and 175.53 is: 261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 300.27 = 175.53 : x
  2. Step 2: Convert to fraction form
    201.24/300.27 = 175.53/x
  3. Step 3: Cross multiply
    201.24x = 300.27 × 175.53
  4. Step 4: Simplify right side
    201.24x = 52,706.39
  5. Step 5: Solve for x
    x = 52,706.39/201.24
  6. Step 6: Final answer
    x = 261.91

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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.