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Finding the Fourth Proportional to 465.97, 699.16 and 177.34

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Solution

The fourth proportional to 465.97, 699.16 and 177.34 is: 266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.97 : 699.16 = 177.34 : x
  2. Step 2: Convert to fraction form
    465.97/699.16 = 177.34/x
  3. Step 3: Cross multiply
    465.97x = 699.16 × 177.34
  4. Step 4: Simplify right side
    465.97x = 123,989.03
  5. Step 5: Solve for x
    x = 123,989.03/465.97
  6. Step 6: Final answer
    x = 266.09

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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.