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Finding the Fourth Proportional to 299.01, 448.64 and 183.46

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Solution

The fourth proportional to 299.01, 448.64 and 183.46 is: 275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.01 : 448.64 = 183.46 : x
  2. Step 2: Convert to fraction form
    299.01/448.64 = 183.46/x
  3. Step 3: Cross multiply
    299.01x = 448.64 × 183.46
  4. Step 4: Simplify right side
    299.01x = 82,306.58
  5. Step 5: Solve for x
    x = 82,306.58/299.01
  6. Step 6: Final answer
    x = 275.26

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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.