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Finding the Fourth Proportional to 278.49, 384.29 and 154.15

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Solution

The fourth proportional to 278.49, 384.29 and 154.15 is: 212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.49 : 384.29 = 154.15 : x
  2. Step 2: Convert to fraction form
    278.49/384.29 = 154.15/x
  3. Step 3: Cross multiply
    278.49x = 384.29 × 154.15
  4. Step 4: Simplify right side
    278.49x = 59,240.18
  5. Step 5: Solve for x
    x = 59,240.18/278.49
  6. Step 6: Final answer
    x = 212.72

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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.