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Finding the Fourth Proportional to 278.32, 384.08 and 167.77

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Solution

The fourth proportional to 278.32, 384.08 and 167.77 is: 231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 384.08 = 167.77 : x
  2. Step 2: Convert to fraction form
    278.32/384.08 = 167.77/x
  3. Step 3: Cross multiply
    278.32x = 384.08 × 167.77
  4. Step 4: Simplify right side
    278.32x = 64,437.69
  5. Step 5: Solve for x
    x = 64,437.69/278.32
  6. Step 6: Final answer
    x = 231.52

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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.