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Finding the Fourth Proportional to 279.08, 382.32 and 268.70

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Solution

The fourth proportional to 279.08, 382.32 and 268.70 is: 368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.08 : 382.32 = 268.70 : x
  2. Step 2: Convert to fraction form
    279.08/382.32 = 268.70/x
  3. Step 3: Cross multiply
    279.08x = 382.32 × 268.70
  4. Step 4: Simplify right side
    279.08x = 102,727.47
  5. Step 5: Solve for x
    x = 102,727.47/279.08
  6. Step 6: Final answer
    x = 368.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.