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Finding the Fourth Proportional to 278.67, 384.30 and 232.10

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Solution

The fourth proportional to 278.67, 384.30 and 232.10 is: 320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 384.30 = 232.10 : x
  2. Step 2: Convert to fraction form
    278.67/384.30 = 232.10/x
  3. Step 3: Cross multiply
    278.67x = 384.30 × 232.10
  4. Step 4: Simplify right side
    278.67x = 89,194.11
  5. Step 5: Solve for x
    x = 89,194.11/278.67
  6. Step 6: Final answer
    x = 320.07

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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.