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Finding the Fourth Proportional to 606.92, 910.42 and 174.08

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Solution

The fourth proportional to 606.92, 910.42 and 174.08 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.92 : 910.42 = 174.08 : x
  2. Step 2: Convert to fraction form
    606.92/910.42 = 174.08/x
  3. Step 3: Cross multiply
    606.92x = 910.42 × 174.08
  4. Step 4: Simplify right side
    606.92x = 158,485.91
  5. Step 5: Solve for x
    x = 158,485.91/606.92
  6. Step 6: Final answer
    x = 261.13

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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.