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Finding the Fourth Proportional to 294.60, 406.32 and 201.42

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Solution

The fourth proportional to 294.60, 406.32 and 201.42 is: 277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 406.32 = 201.42 : x
  2. Step 2: Convert to fraction form
    294.60/406.32 = 201.42/x
  3. Step 3: Cross multiply
    294.60x = 406.32 × 201.42
  4. Step 4: Simplify right side
    294.60x = 81,840.97
  5. Step 5: Solve for x
    x = 81,840.97/294.60
  6. Step 6: Final answer
    x = 277.80

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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.