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Finding the Fourth Proportional to 278.36, 384.08 and 189.90

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Solution

The fourth proportional to 278.36, 384.08 and 189.90 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.36 : 384.08 = 189.90 : x
  2. Step 2: Convert to fraction form
    278.36/384.08 = 189.90/x
  3. Step 3: Cross multiply
    278.36x = 384.08 × 189.90
  4. Step 4: Simplify right side
    278.36x = 72,935.84
  5. Step 5: Solve for x
    x = 72,935.84/278.36
  6. Step 6: Final answer
    x = 262.02

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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.