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Finding the Fourth Proportional to 199.34, 299.01 and 55.07

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Solution

The fourth proportional to 199.34, 299.01 and 55.07 is: 82.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 299.01 = 55.07 : x
  2. Step 2: Convert to fraction form
    199.34/299.01 = 55.07/x
  3. Step 3: Cross multiply
    199.34x = 299.01 × 55.07
  4. Step 4: Simplify right side
    199.34x = 16,466.48
  5. Step 5: Solve for x
    x = 16,466.48/199.34
  6. Step 6: Final answer
    x = 82.61

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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.