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Finding the Fourth Proportional to 164.32, 244.64 and 163.84

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Solution

The fourth proportional to 164.32, 244.64 and 163.84 is: 243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.32 : 244.64 = 163.84 : x
  2. Step 2: Convert to fraction form
    164.32/244.64 = 163.84/x
  3. Step 3: Cross multiply
    164.32x = 244.64 × 163.84
  4. Step 4: Simplify right side
    164.32x = 40,081.82
  5. Step 5: Solve for x
    x = 40,081.82/164.32
  6. Step 6: Final answer
    x = 243.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.