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Finding the Fourth Proportional to 279.14, 384.98 and 168.54

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Solution

The fourth proportional to 279.14, 384.98 and 168.54 is: 232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 384.98 = 168.54 : x
  2. Step 2: Convert to fraction form
    279.14/384.98 = 168.54/x
  3. Step 3: Cross multiply
    279.14x = 384.98 × 168.54
  4. Step 4: Simplify right side
    279.14x = 64,884.53
  5. Step 5: Solve for x
    x = 64,884.53/279.14
  6. Step 6: Final answer
    x = 232.44

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Why These Related Problems?

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