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Finding the Fourth Proportional to 356.60, 492.04 and 201.34

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Solution

The fourth proportional to 356.60, 492.04 and 201.34 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.60 : 492.04 = 201.34 : x
  2. Step 2: Convert to fraction form
    356.60/492.04 = 201.34/x
  3. Step 3: Cross multiply
    356.60x = 492.04 × 201.34
  4. Step 4: Simplify right side
    356.60x = 99,067.33
  5. Step 5: Solve for x
    x = 99,067.33/356.60
  6. Step 6: Final answer
    x = 277.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.