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Finding the Fourth Proportional to 665.89, 998.45 and 203.54

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Solution

The fourth proportional to 665.89, 998.45 and 203.54 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.89 : 998.45 = 203.54 : x
  2. Step 2: Convert to fraction form
    665.89/998.45 = 203.54/x
  3. Step 3: Cross multiply
    665.89x = 998.45 × 203.54
  4. Step 4: Simplify right side
    665.89x = 203,224.51
  5. Step 5: Solve for x
    x = 203,224.51/665.89
  6. Step 6: Final answer
    x = 305.19

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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.