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Finding the Fourth Proportional to 202.55, 303.77 and 106.31

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Solution

The fourth proportional to 202.55, 303.77 and 106.31 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.55 : 303.77 = 106.31 : x
  2. Step 2: Convert to fraction form
    202.55/303.77 = 106.31/x
  3. Step 3: Cross multiply
    202.55x = 303.77 × 106.31
  4. Step 4: Simplify right side
    202.55x = 32,293.26
  5. Step 5: Solve for x
    x = 32,293.26/202.55
  6. Step 6: Final answer
    x = 159.43

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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.