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Finding the Fourth Proportional to 164.19, 245.82 and 112.71

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Solution

The fourth proportional to 164.19, 245.82 and 112.71 is: 168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.19 : 245.82 = 112.71 : x
  2. Step 2: Convert to fraction form
    164.19/245.82 = 112.71/x
  3. Step 3: Cross multiply
    164.19x = 245.82 × 112.71
  4. Step 4: Simplify right side
    164.19x = 27,706.37
  5. Step 5: Solve for x
    x = 27,706.37/164.19
  6. Step 6: Final answer
    x = 168.75

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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.