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Finding the Fourth Proportional to 281.36, 420.58 and 199.76

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Solution

The fourth proportional to 281.36, 420.58 and 199.76 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.36 : 420.58 = 199.76 : x
  2. Step 2: Convert to fraction form
    281.36/420.58 = 199.76/x
  3. Step 3: Cross multiply
    281.36x = 420.58 × 199.76
  4. Step 4: Simplify right side
    281.36x = 84,015.06
  5. Step 5: Solve for x
    x = 84,015.06/281.36
  6. Step 6: Final answer
    x = 298.60

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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.