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Finding the Fourth Proportional to 278.83, 384.83 and 232.14

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Solution

The fourth proportional to 278.83, 384.83 and 232.14 is: 320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.83 : 384.83 = 232.14 : x
  2. Step 2: Convert to fraction form
    278.83/384.83 = 232.14/x
  3. Step 3: Cross multiply
    278.83x = 384.83 × 232.14
  4. Step 4: Simplify right side
    278.83x = 89,334.44
  5. Step 5: Solve for x
    x = 89,334.44/278.83
  6. Step 6: Final answer
    x = 320.39

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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.