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Finding the Fourth Proportional to 279.43, 419.14 and 117.11

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Solution

The fourth proportional to 279.43, 419.14 and 117.11 is: 175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.43 : 419.14 = 117.11 : x
  2. Step 2: Convert to fraction form
    279.43/419.14 = 117.11/x
  3. Step 3: Cross multiply
    279.43x = 419.14 × 117.11
  4. Step 4: Simplify right side
    279.43x = 49,085.49
  5. Step 5: Solve for x
    x = 49,085.49/279.43
  6. Step 6: Final answer
    x = 175.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.