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Finding the Fourth Proportional to 654.64, 982.02 and 167.70

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Solution

The fourth proportional to 654.64, 982.02 and 167.70 is: 251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.64 : 982.02 = 167.70 : x
  2. Step 2: Convert to fraction form
    654.64/982.02 = 167.70/x
  3. Step 3: Cross multiply
    654.64x = 982.02 × 167.70
  4. Step 4: Simplify right side
    654.64x = 164,680.78
  5. Step 5: Solve for x
    x = 164,680.78/654.64
  6. Step 6: Final answer
    x = 251.56

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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.