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Finding the Fourth Proportional to 279.09, 417.42 and 185.94

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Solution

The fourth proportional to 279.09, 417.42 and 185.94 is: 278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.09 : 417.42 = 185.94 : x
  2. Step 2: Convert to fraction form
    279.09/417.42 = 185.94/x
  3. Step 3: Cross multiply
    279.09x = 417.42 × 185.94
  4. Step 4: Simplify right side
    279.09x = 77,615.07
  5. Step 5: Solve for x
    x = 77,615.07/279.09
  6. Step 6: Final answer
    x = 278.10

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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.