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Finding the Fourth Proportional to 279.69, 386.10 and 242.75

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Solution

The fourth proportional to 279.69, 386.10 and 242.75 is: 335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.69 : 386.10 = 242.75 : x
  2. Step 2: Convert to fraction form
    279.69/386.10 = 242.75/x
  3. Step 3: Cross multiply
    279.69x = 386.10 × 242.75
  4. Step 4: Simplify right side
    279.69x = 93,723.84
  5. Step 5: Solve for x
    x = 93,723.84/279.69
  6. Step 6: Final answer
    x = 335.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.