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Finding the Fourth Proportional to 356.56, 492 and 201.28

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Solution

The fourth proportional to 356.56, 492 and 201.28 is: 277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.56 : 492 = 201.28 : x
  2. Step 2: Convert to fraction form
    356.56/492 = 201.28/x
  3. Step 3: Cross multiply
    356.56x = 492 × 201.28
  4. Step 4: Simplify right side
    356.56x = 99,029.76
  5. Step 5: Solve for x
    x = 99,029.76/356.56
  6. Step 6: Final answer
    x = 277.74

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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.