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Finding the Fourth Proportional to 356.74, 492.20 and 201.49

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Solution

The fourth proportional to 356.74, 492.20 and 201.49 is: 278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.74 : 492.20 = 201.49 : x
  2. Step 2: Convert to fraction form
    356.74/492.20 = 201.49/x
  3. Step 3: Cross multiply
    356.74x = 492.20 × 201.49
  4. Step 4: Simplify right side
    356.74x = 99,173.38
  5. Step 5: Solve for x
    x = 99,173.38/356.74
  6. Step 6: Final answer
    x = 278.00

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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.