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Finding the Fourth Proportional to 173.74, 260.98 and 109.66

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Solution

The fourth proportional to 173.74, 260.98 and 109.66 is: 164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.74 : 260.98 = 109.66 : x
  2. Step 2: Convert to fraction form
    173.74/260.98 = 109.66/x
  3. Step 3: Cross multiply
    173.74x = 260.98 × 109.66
  4. Step 4: Simplify right side
    173.74x = 28,619.07
  5. Step 5: Solve for x
    x = 28,619.07/173.74
  6. Step 6: Final answer
    x = 164.72

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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.