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Finding the Fourth Proportional to 268.99, 403.65 and 132.05

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Solution

The fourth proportional to 268.99, 403.65 and 132.05 is: 198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.99 : 403.65 = 132.05 : x
  2. Step 2: Convert to fraction form
    268.99/403.65 = 132.05/x
  3. Step 3: Cross multiply
    268.99x = 403.65 × 132.05
  4. Step 4: Simplify right side
    268.99x = 53,302.99
  5. Step 5: Solve for x
    x = 53,302.99/268.99
  6. Step 6: Final answer
    x = 198.16

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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.