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Finding the Fourth Proportional to 442.60, 663.65 and 182.78

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Solution

The fourth proportional to 442.60, 663.65 and 182.78 is: 274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 663.65 = 182.78 : x
  2. Step 2: Convert to fraction form
    442.60/663.65 = 182.78/x
  3. Step 3: Cross multiply
    442.60x = 663.65 × 182.78
  4. Step 4: Simplify right side
    442.60x = 121,301.95
  5. Step 5: Solve for x
    x = 121,301.95/442.60
  6. Step 6: Final answer
    x = 274.07

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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.