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Finding the Fourth Proportional to 466.41, 699.82 and 177.78

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Solution

The fourth proportional to 466.41, 699.82 and 177.78 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.41 : 699.82 = 177.78 : x
  2. Step 2: Convert to fraction form
    466.41/699.82 = 177.78/x
  3. Step 3: Cross multiply
    466.41x = 699.82 × 177.78
  4. Step 4: Simplify right side
    466.41x = 124,414.00
  5. Step 5: Solve for x
    x = 124,414.00/466.41
  6. Step 6: Final answer
    x = 266.75

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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.