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Finding the Fourth Proportional to 358.86, 495.21 and 201.47

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Solution

The fourth proportional to 358.86, 495.21 and 201.47 is: 278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.86 : 495.21 = 201.47 : x
  2. Step 2: Convert to fraction form
    358.86/495.21 = 201.47/x
  3. Step 3: Cross multiply
    358.86x = 495.21 × 201.47
  4. Step 4: Simplify right side
    358.86x = 99,768.95
  5. Step 5: Solve for x
    x = 99,768.95/358.86
  6. Step 6: Final answer
    x = 278.02

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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.