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Finding the Fourth Proportional to 466.22, 699.11 and 141.52

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Solution

The fourth proportional to 466.22, 699.11 and 141.52 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.22 : 699.11 = 141.52 : x
  2. Step 2: Convert to fraction form
    466.22/699.11 = 141.52/x
  3. Step 3: Cross multiply
    466.22x = 699.11 × 141.52
  4. Step 4: Simplify right side
    466.22x = 98,934.55
  5. Step 5: Solve for x
    x = 98,934.55/466.22
  6. Step 6: Final answer
    x = 212.21

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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.