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Finding the Fourth Proportional to 281.18, 420.04 and 199.38

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Solution

The fourth proportional to 281.18, 420.04 and 199.38 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.18 : 420.04 = 199.38 : x
  2. Step 2: Convert to fraction form
    281.18/420.04 = 199.38/x
  3. Step 3: Cross multiply
    281.18x = 420.04 × 199.38
  4. Step 4: Simplify right side
    281.18x = 83,747.58
  5. Step 5: Solve for x
    x = 83,747.58/281.18
  6. Step 6: Final answer
    x = 297.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.