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Finding the Fourth Proportional to 278.58, 384.31 and 168

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Solution

The fourth proportional to 278.58, 384.31 and 168 is: 231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.58 : 384.31 = 168 : x
  2. Step 2: Convert to fraction form
    278.58/384.31 = 168/x
  3. Step 3: Cross multiply
    278.58x = 384.31 × 168
  4. Step 4: Simplify right side
    278.58x = 64,564.08
  5. Step 5: Solve for x
    x = 64,564.08/278.58
  6. Step 6: Final answer
    x = 231.76

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