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Finding the Fourth Proportional to 466.59, 699.92 and 141.96

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Solution

The fourth proportional to 466.59, 699.92 and 141.96 is: 212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.59 : 699.92 = 141.96 : x
  2. Step 2: Convert to fraction form
    466.59/699.92 = 141.96/x
  3. Step 3: Cross multiply
    466.59x = 699.92 × 141.96
  4. Step 4: Simplify right side
    466.59x = 99,363.09
  5. Step 5: Solve for x
    x = 99,363.09/466.59
  6. Step 6: Final answer
    x = 212.95

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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.