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Finding the Fourth Proportional to 356.46, 491.93 and 199.09

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Solution

The fourth proportional to 356.46, 491.93 and 199.09 is: 274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.46 : 491.93 = 199.09 : x
  2. Step 2: Convert to fraction form
    356.46/491.93 = 199.09/x
  3. Step 3: Cross multiply
    356.46x = 491.93 × 199.09
  4. Step 4: Simplify right side
    356.46x = 97,938.34
  5. Step 5: Solve for x
    x = 97,938.34/356.46
  6. Step 6: Final answer
    x = 274.75

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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.