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Finding the Fourth Proportional to 278.36, 384.14 and 154.03

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Solution

The fourth proportional to 278.36, 384.14 and 154.03 is: 212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 384.14 = 154.03 : x
  2. Step 2: Convert to fraction form
    278.36/384.14 = 154.03/x
  3. Step 3: Cross multiply
    278.36x = 384.14 × 154.03
  4. Step 4: Simplify right side
    278.36x = 59,166.39
  5. Step 5: Solve for x
    x = 59,166.39/278.36
  6. Step 6: Final answer
    x = 212.55

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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.