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Finding the Fourth Proportional to 606.83, 909.96 and 173.88

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Solution

The fourth proportional to 606.83, 909.96 and 173.88 is: 260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.83 : 909.96 = 173.88 : x
  2. Step 2: Convert to fraction form
    606.83/909.96 = 173.88/x
  3. Step 3: Cross multiply
    606.83x = 909.96 × 173.88
  4. Step 4: Simplify right side
    606.83x = 158,223.84
  5. Step 5: Solve for x
    x = 158,223.84/606.83
  6. Step 6: Final answer
    x = 260.74

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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.