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Finding the Fourth Proportional to 606.73, 910.10 and 173.89

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Solution

The fourth proportional to 606.73, 910.10 and 173.89 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.73 : 910.10 = 173.89 : x
  2. Step 2: Convert to fraction form
    606.73/910.10 = 173.89/x
  3. Step 3: Cross multiply
    606.73x = 910.10 × 173.89
  4. Step 4: Simplify right side
    606.73x = 158,257.29
  5. Step 5: Solve for x
    x = 158,257.29/606.73
  6. Step 6: Final answer
    x = 260.84

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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.