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Finding the Fourth Proportional to 299.98, 450.13 and 117.38

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Solution

The fourth proportional to 299.98, 450.13 and 117.38 is: 176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 450.13 = 117.38 : x
  2. Step 2: Convert to fraction form
    299.98/450.13 = 117.38/x
  3. Step 3: Cross multiply
    299.98x = 450.13 × 117.38
  4. Step 4: Simplify right side
    299.98x = 52,836.26
  5. Step 5: Solve for x
    x = 52,836.26/299.98
  6. Step 6: Final answer
    x = 176.14

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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.