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Finding the Fourth Proportional to 466.81, 699.90 and 193.03

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Solution

The fourth proportional to 466.81, 699.90 and 193.03 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.81 : 699.90 = 193.03 : x
  2. Step 2: Convert to fraction form
    466.81/699.90 = 193.03/x
  3. Step 3: Cross multiply
    466.81x = 699.90 × 193.03
  4. Step 4: Simplify right side
    466.81x = 135,101.70
  5. Step 5: Solve for x
    x = 135,101.70/466.81
  6. Step 6: Final answer
    x = 289.41

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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.