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Finding the Fourth Proportional to 466.49, 699.74 and 141.86

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Solution

The fourth proportional to 466.49, 699.74 and 141.86 is: 212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.49 : 699.74 = 141.86 : x
  2. Step 2: Convert to fraction form
    466.49/699.74 = 141.86/x
  3. Step 3: Cross multiply
    466.49x = 699.74 × 141.86
  4. Step 4: Simplify right side
    466.49x = 99,265.12
  5. Step 5: Solve for x
    x = 99,265.12/466.49
  6. Step 6: Final answer
    x = 212.79

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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.