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Finding the Fourth Proportional to 660.02, 990.22 and 197.81

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Solution

The fourth proportional to 660.02, 990.22 and 197.81 is: 296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.02 : 990.22 = 197.81 : x
  2. Step 2: Convert to fraction form
    660.02/990.22 = 197.81/x
  3. Step 3: Cross multiply
    660.02x = 990.22 × 197.81
  4. Step 4: Simplify right side
    660.02x = 195,869.97
  5. Step 5: Solve for x
    x = 195,869.97/660.02
  6. Step 6: Final answer
    x = 296.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.