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Finding the Fourth Proportional to 202.99, 304.62 and 111.75

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Solution

The fourth proportional to 202.99, 304.62 and 111.75 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 304.62 = 111.75 : x
  2. Step 2: Convert to fraction form
    202.99/304.62 = 111.75/x
  3. Step 3: Cross multiply
    202.99x = 304.62 × 111.75
  4. Step 4: Simplify right side
    202.99x = 34,041.29
  5. Step 5: Solve for x
    x = 34,041.29/202.99
  6. Step 6: Final answer
    x = 167.70

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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.