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Finding the Fourth Proportional to 466.84, 699.84 and 178.48

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Solution

The fourth proportional to 466.84, 699.84 and 178.48 is: 267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.84 : 699.84 = 178.48 : x
  2. Step 2: Convert to fraction form
    466.84/699.84 = 178.48/x
  3. Step 3: Cross multiply
    466.84x = 699.84 × 178.48
  4. Step 4: Simplify right side
    466.84x = 124,907.44
  5. Step 5: Solve for x
    x = 124,907.44/466.84
  6. Step 6: Final answer
    x = 267.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.