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Finding the Fourth Proportional to 442.68, 663.84 and 186

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Solution

The fourth proportional to 442.68, 663.84 and 186 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.68 : 663.84 = 186 : x
  2. Step 2: Convert to fraction form
    442.68/663.84 = 186/x
  3. Step 3: Cross multiply
    442.68x = 663.84 × 186
  4. Step 4: Simplify right side
    442.68x = 123,474.24
  5. Step 5: Solve for x
    x = 123,474.24/442.68
  6. Step 6: Final answer
    x = 278.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.