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Finding the Fourth Proportional to 466.90, 699.69 and 192.82

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Solution

The fourth proportional to 466.90, 699.69 and 192.82 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.90 : 699.69 = 192.82 : x
  2. Step 2: Convert to fraction form
    466.90/699.69 = 192.82/x
  3. Step 3: Cross multiply
    466.90x = 699.69 × 192.82
  4. Step 4: Simplify right side
    466.90x = 134,914.23
  5. Step 5: Solve for x
    x = 134,914.23/466.90
  6. Step 6: Final answer
    x = 288.96

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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.