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Finding the Fourth Proportional to 466.82, 700.19 and 192.83

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Solution

The fourth proportional to 466.82, 700.19 and 192.83 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.82 : 700.19 = 192.83 : x
  2. Step 2: Convert to fraction form
    466.82/700.19 = 192.83/x
  3. Step 3: Cross multiply
    466.82x = 700.19 × 192.83
  4. Step 4: Simplify right side
    466.82x = 135,016.67
  5. Step 5: Solve for x
    x = 135,016.67/466.82
  6. Step 6: Final answer
    x = 289.23

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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.