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Finding the Fourth Proportional to 606.75, 910.16 and 173.94

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Solution

The fourth proportional to 606.75, 910.16 and 173.94 is: 260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.75 : 910.16 = 173.94 : x
  2. Step 2: Convert to fraction form
    606.75/910.16 = 173.94/x
  3. Step 3: Cross multiply
    606.75x = 910.16 × 173.94
  4. Step 4: Simplify right side
    606.75x = 158,312.36
  5. Step 5: Solve for x
    x = 158,312.36/606.75
  6. Step 6: Final answer
    x = 260.92

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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.