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Finding the Fourth Proportional to 299.68, 448.98 and 184.16

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Solution

The fourth proportional to 299.68, 448.98 and 184.16 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 448.98 = 184.16 : x
  2. Step 2: Convert to fraction form
    299.68/448.98 = 184.16/x
  3. Step 3: Cross multiply
    299.68x = 448.98 × 184.16
  4. Step 4: Simplify right side
    299.68x = 82,684.16
  5. Step 5: Solve for x
    x = 82,684.16/299.68
  6. Step 6: Final answer
    x = 275.91

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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.