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Finding the Fourth Proportional to 606.67, 910.08 and 173.83

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Solution

The fourth proportional to 606.67, 910.08 and 173.83 is: 260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.67 : 910.08 = 173.83 : x
  2. Step 2: Convert to fraction form
    606.67/910.08 = 173.83/x
  3. Step 3: Cross multiply
    606.67x = 910.08 × 173.83
  4. Step 4: Simplify right side
    606.67x = 158,199.21
  5. Step 5: Solve for x
    x = 158,199.21/606.67
  6. Step 6: Final answer
    x = 260.77

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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.