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Finding the Fourth Proportional to 466.91, 700.26 and 137.84

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Solution

The fourth proportional to 466.91, 700.26 and 137.84 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.91 : 700.26 = 137.84 : x
  2. Step 2: Convert to fraction form
    466.91/700.26 = 137.84/x
  3. Step 3: Cross multiply
    466.91x = 700.26 × 137.84
  4. Step 4: Simplify right side
    466.91x = 96,520.34
  5. Step 5: Solve for x
    x = 96,520.34/466.91
  6. Step 6: Final answer
    x = 206.72

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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.