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Finding the Fourth Proportional to 356.77, 492.30 and 199.41

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Solution

The fourth proportional to 356.77, 492.30 and 199.41 is: 275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.77 : 492.30 = 199.41 : x
  2. Step 2: Convert to fraction form
    356.77/492.30 = 199.41/x
  3. Step 3: Cross multiply
    356.77x = 492.30 × 199.41
  4. Step 4: Simplify right side
    356.77x = 98,169.08
  5. Step 5: Solve for x
    x = 98,169.08/356.77
  6. Step 6: Final answer
    x = 275.16

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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.