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Finding the Fourth Proportional to 660.08, 990.04 and 204.08

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Solution

The fourth proportional to 660.08, 990.04 and 204.08 is: 306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.08 : 990.04 = 204.08 : x
  2. Step 2: Convert to fraction form
    660.08/990.04 = 204.08/x
  3. Step 3: Cross multiply
    660.08x = 990.04 × 204.08
  4. Step 4: Simplify right side
    660.08x = 202,047.36
  5. Step 5: Solve for x
    x = 202,047.36/660.08
  6. Step 6: Final answer
    x = 306.10

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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.