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Finding the Fourth Proportional to 356.54, 492.03 and 197.03

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Solution

The fourth proportional to 356.54, 492.03 and 197.03 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.54 : 492.03 = 197.03 : x
  2. Step 2: Convert to fraction form
    356.54/492.03 = 197.03/x
  3. Step 3: Cross multiply
    356.54x = 492.03 × 197.03
  4. Step 4: Simplify right side
    356.54x = 96,945.90
  5. Step 5: Solve for x
    x = 96,945.90/356.54
  6. Step 6: Final answer
    x = 271.91

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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.