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Finding the Fourth Proportional to 202.93, 304.40 and 111.58

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Solution

The fourth proportional to 202.93, 304.40 and 111.58 is: 167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.93 : 304.40 = 111.58 : x
  2. Step 2: Convert to fraction form
    202.93/304.40 = 111.58/x
  3. Step 3: Cross multiply
    202.93x = 304.40 × 111.58
  4. Step 4: Simplify right side
    202.93x = 33,964.39
  5. Step 5: Solve for x
    x = 33,964.39/202.93
  6. Step 6: Final answer
    x = 167.37

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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.