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Finding the Fourth Proportional to 202.31, 303.58 and 111.07

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Solution

The fourth proportional to 202.31, 303.58 and 111.07 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.31 : 303.58 = 111.07 : x
  2. Step 2: Convert to fraction form
    202.31/303.58 = 111.07/x
  3. Step 3: Cross multiply
    202.31x = 303.58 × 111.07
  4. Step 4: Simplify right side
    202.31x = 33,717.11
  5. Step 5: Solve for x
    x = 33,717.11/202.31
  6. Step 6: Final answer
    x = 166.66

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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.