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Finding the Fourth Proportional to 278.36, 384.07 and 167.83

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Solution

The fourth proportional to 278.36, 384.07 and 167.83 is: 231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 384.07 = 167.83 : x
  2. Step 2: Convert to fraction form
    278.36/384.07 = 167.83/x
  3. Step 3: Cross multiply
    278.36x = 384.07 × 167.83
  4. Step 4: Simplify right side
    278.36x = 64,458.47
  5. Step 5: Solve for x
    x = 64,458.47/278.36
  6. Step 6: Final answer
    x = 231.57

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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.