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Finding the Fourth Proportional to 667.97, 1,002.01 and 174.45

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Solution

The fourth proportional to 667.97, 1,002.01 and 174.45 is: 261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.97 : 1,002.01 = 174.45 : x
  2. Step 2: Convert to fraction form
    667.97/1,002.01 = 174.45/x
  3. Step 3: Cross multiply
    667.97x = 1,002.01 × 174.45
  4. Step 4: Simplify right side
    667.97x = 174,798.81
  5. Step 5: Solve for x
    x = 174,798.81/667.97
  6. Step 6: Final answer
    x = 261.69

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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.