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Finding the Fourth Proportional to 202.47, 303.84 and 109.93

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Solution

The fourth proportional to 202.47, 303.84 and 109.93 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.47 : 303.84 = 109.93 : x
  2. Step 2: Convert to fraction form
    202.47/303.84 = 109.93/x
  3. Step 3: Cross multiply
    202.47x = 303.84 × 109.93
  4. Step 4: Simplify right side
    202.47x = 33,399.61
  5. Step 5: Solve for x
    x = 33,399.61/202.47
  6. Step 6: Final answer
    x = 164.96

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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.