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Finding the Fourth Proportional to 665.01, 997.41 and 202.65

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Solution

The fourth proportional to 665.01, 997.41 and 202.65 is: 303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.01 : 997.41 = 202.65 : x
  2. Step 2: Convert to fraction form
    665.01/997.41 = 202.65/x
  3. Step 3: Cross multiply
    665.01x = 997.41 × 202.65
  4. Step 4: Simplify right side
    665.01x = 202,125.14
  5. Step 5: Solve for x
    x = 202,125.14/665.01
  6. Step 6: Final answer
    x = 303.94

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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.