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Finding the Fourth Proportional to 466.69, 699.94 and 141.97

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Solution

The fourth proportional to 466.69, 699.94 and 141.97 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.69 : 699.94 = 141.97 : x
  2. Step 2: Convert to fraction form
    466.69/699.94 = 141.97/x
  3. Step 3: Cross multiply
    466.69x = 699.94 × 141.97
  4. Step 4: Simplify right side
    466.69x = 99,370.48
  5. Step 5: Solve for x
    x = 99,370.48/466.69
  6. Step 6: Final answer
    x = 212.93

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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.