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Finding the Fourth Proportional to 164.94, 247.26 and 113.49

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Solution

The fourth proportional to 164.94, 247.26 and 113.49 is: 170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 247.26 = 113.49 : x
  2. Step 2: Convert to fraction form
    164.94/247.26 = 113.49/x
  3. Step 3: Cross multiply
    164.94x = 247.26 × 113.49
  4. Step 4: Simplify right side
    164.94x = 28,061.54
  5. Step 5: Solve for x
    x = 28,061.54/164.94
  6. Step 6: Final answer
    x = 170.13

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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.