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Finding the Fourth Proportional to 660.10, 990.15 and 173.14

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Solution

The fourth proportional to 660.10, 990.15 and 173.14 is: 259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 990.15 = 173.14 : x
  2. Step 2: Convert to fraction form
    660.10/990.15 = 173.14/x
  3. Step 3: Cross multiply
    660.10x = 990.15 × 173.14
  4. Step 4: Simplify right side
    660.10x = 171,434.57
  5. Step 5: Solve for x
    x = 171,434.57/660.10
  6. Step 6: Final answer
    x = 259.71

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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.