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Finding the Fourth Proportional to 202.62, 303.80 and 105.04

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Solution

The fourth proportional to 202.62, 303.80 and 105.04 is: 157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.62 : 303.80 = 105.04 : x
  2. Step 2: Convert to fraction form
    202.62/303.80 = 105.04/x
  3. Step 3: Cross multiply
    202.62x = 303.80 × 105.04
  4. Step 4: Simplify right side
    202.62x = 31,911.01
  5. Step 5: Solve for x
    x = 31,911.01/202.62
  6. Step 6: Final answer
    x = 157.49

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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.