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Finding the Fourth Proportional to 661.09, 991.70 and 174.15

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Solution

The fourth proportional to 661.09, 991.70 and 174.15 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.09 : 991.70 = 174.15 : x
  2. Step 2: Convert to fraction form
    661.09/991.70 = 174.15/x
  3. Step 3: Cross multiply
    661.09x = 991.70 × 174.15
  4. Step 4: Simplify right side
    661.09x = 172,700.29
  5. Step 5: Solve for x
    x = 172,700.29/661.09
  6. Step 6: Final answer
    x = 261.23

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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.