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Finding the Fourth Proportional to 278.70, 384.30 and 232.08

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Solution

The fourth proportional to 278.70, 384.30 and 232.08 is: 320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.70 : 384.30 = 232.08 : x
  2. Step 2: Convert to fraction form
    278.70/384.30 = 232.08/x
  3. Step 3: Cross multiply
    278.70x = 384.30 × 232.08
  4. Step 4: Simplify right side
    278.70x = 89,188.34
  5. Step 5: Solve for x
    x = 89,188.34/278.70
  6. Step 6: Final answer
    x = 320.02

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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.