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Finding the Fourth Proportional to 660.10, 990.09 and 173.12

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Solution

The fourth proportional to 660.10, 990.09 and 173.12 is: 259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 990.09 = 173.12 : x
  2. Step 2: Convert to fraction form
    660.10/990.09 = 173.12/x
  3. Step 3: Cross multiply
    660.10x = 990.09 × 173.12
  4. Step 4: Simplify right side
    660.10x = 171,404.38
  5. Step 5: Solve for x
    x = 171,404.38/660.10
  6. Step 6: Final answer
    x = 259.66

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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.