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Finding the Fourth Proportional to 465.96, 699.21 and 177.42

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Solution

The fourth proportional to 465.96, 699.21 and 177.42 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 699.21 = 177.42 : x
  2. Step 2: Convert to fraction form
    465.96/699.21 = 177.42/x
  3. Step 3: Cross multiply
    465.96x = 699.21 × 177.42
  4. Step 4: Simplify right side
    465.96x = 124,053.84
  5. Step 5: Solve for x
    x = 124,053.84/465.96
  6. Step 6: Final answer
    x = 266.23

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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.