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Finding the Fourth Proportional to 278.41, 384.23 and 154.09

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Solution

The fourth proportional to 278.41, 384.23 and 154.09 is: 212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.41 : 384.23 = 154.09 : x
  2. Step 2: Convert to fraction form
    278.41/384.23 = 154.09/x
  3. Step 3: Cross multiply
    278.41x = 384.23 × 154.09
  4. Step 4: Simplify right side
    278.41x = 59,206.00
  5. Step 5: Solve for x
    x = 59,206.00/278.41
  6. Step 6: Final answer
    x = 212.66

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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.