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Finding the Fourth Proportional to 356.06, 491.31 and 200.78

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Solution

The fourth proportional to 356.06, 491.31 and 200.78 is: 277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.06 : 491.31 = 200.78 : x
  2. Step 2: Convert to fraction form
    356.06/491.31 = 200.78/x
  3. Step 3: Cross multiply
    356.06x = 491.31 × 200.78
  4. Step 4: Simplify right side
    356.06x = 98,645.22
  5. Step 5: Solve for x
    x = 98,645.22/356.06
  6. Step 6: Final answer
    x = 277.05

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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.