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Finding the Fourth Proportional to 661.49, 992.20 and 174.52

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Solution

The fourth proportional to 661.49, 992.20 and 174.52 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.49 : 992.20 = 174.52 : x
  2. Step 2: Convert to fraction form
    661.49/992.20 = 174.52/x
  3. Step 3: Cross multiply
    661.49x = 992.20 × 174.52
  4. Step 4: Simplify right side
    661.49x = 173,158.74
  5. Step 5: Solve for x
    x = 173,158.74/661.49
  6. Step 6: Final answer
    x = 261.77

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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.