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Finding the Fourth Proportional to 201.98, 303.10 and 99.32

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Solution

The fourth proportional to 201.98, 303.10 and 99.32 is: 149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.98 : 303.10 = 99.32 : x
  2. Step 2: Convert to fraction form
    201.98/303.10 = 99.32/x
  3. Step 3: Cross multiply
    201.98x = 303.10 × 99.32
  4. Step 4: Simplify right side
    201.98x = 30,103.89
  5. Step 5: Solve for x
    x = 30,103.89/201.98
  6. Step 6: Final answer
    x = 149.04

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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.