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Finding the Fourth Proportional to 202.44, 303.75 and 105.06

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Solution

The fourth proportional to 202.44, 303.75 and 105.06 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.44 : 303.75 = 105.06 : x
  2. Step 2: Convert to fraction form
    202.44/303.75 = 105.06/x
  3. Step 3: Cross multiply
    202.44x = 303.75 × 105.06
  4. Step 4: Simplify right side
    202.44x = 31,911.98
  5. Step 5: Solve for x
    x = 31,911.98/202.44
  6. Step 6: Final answer
    x = 157.64

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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.