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Finding the Fourth Proportional to 466.82, 700.24 and 192.84

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Solution

The fourth proportional to 466.82, 700.24 and 192.84 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.82 : 700.24 = 192.84 : x
  2. Step 2: Convert to fraction form
    466.82/700.24 = 192.84/x
  3. Step 3: Cross multiply
    466.82x = 700.24 × 192.84
  4. Step 4: Simplify right side
    466.82x = 135,030.78
  5. Step 5: Solve for x
    x = 135,030.78/466.82
  6. Step 6: Final answer
    x = 289.26

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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.