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Finding the Fourth Proportional to 606.66, 910.13 and 173.82

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Solution

The fourth proportional to 606.66, 910.13 and 173.82 is: 260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.66 : 910.13 = 173.82 : x
  2. Step 2: Convert to fraction form
    606.66/910.13 = 173.82/x
  3. Step 3: Cross multiply
    606.66x = 910.13 × 173.82
  4. Step 4: Simplify right side
    606.66x = 158,197.93
  5. Step 5: Solve for x
    x = 158,197.93/606.66
  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.