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Finding the Fourth Proportional to 202.21, 303.36 and 115.58

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Solution

The fourth proportional to 202.21, 303.36 and 115.58 is: 173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.21 : 303.36 = 115.58 : x
  2. Step 2: Convert to fraction form
    202.21/303.36 = 115.58/x
  3. Step 3: Cross multiply
    202.21x = 303.36 × 115.58
  4. Step 4: Simplify right side
    202.21x = 35,062.35
  5. Step 5: Solve for x
    x = 35,062.35/202.21
  6. Step 6: Final answer
    x = 173.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.