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Finding the Fourth Proportional to 606.77, 910.16 and 173.92

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Solution

The fourth proportional to 606.77, 910.16 and 173.92 is: 260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.77 : 910.16 = 173.92 : x
  2. Step 2: Convert to fraction form
    606.77/910.16 = 173.92/x
  3. Step 3: Cross multiply
    606.77x = 910.16 × 173.92
  4. Step 4: Simplify right side
    606.77x = 158,296.87
  5. Step 5: Solve for x
    x = 158,296.87/606.77
  6. Step 6: Final answer
    x = 260.89

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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.