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Finding the Fourth Proportional to 465.95, 699.03 and 177.19

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Solution

The fourth proportional to 465.95, 699.03 and 177.19 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 699.03 = 177.19 : x
  2. Step 2: Convert to fraction form
    465.95/699.03 = 177.19/x
  3. Step 3: Cross multiply
    465.95x = 699.03 × 177.19
  4. Step 4: Simplify right side
    465.95x = 123,859.38
  5. Step 5: Solve for x
    x = 123,859.38/465.95
  6. Step 6: Final answer
    x = 265.82

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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.