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Finding the Fourth Proportional to 202.55, 304.02 and 111.23

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Solution

The fourth proportional to 202.55, 304.02 and 111.23 is: 166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.55 : 304.02 = 111.23 : x
  2. Step 2: Convert to fraction form
    202.55/304.02 = 111.23/x
  3. Step 3: Cross multiply
    202.55x = 304.02 × 111.23
  4. Step 4: Simplify right side
    202.55x = 33,816.14
  5. Step 5: Solve for x
    x = 33,816.14/202.55
  6. Step 6: Final answer
    x = 166.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.