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Finding the Fourth Proportional to 164.32, 226.88 and 145.92

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Solution

The fourth proportional to 164.32, 226.88 and 145.92 is: 201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.32 : 226.88 = 145.92 : x
  2. Step 2: Convert to fraction form
    164.32/226.88 = 145.92/x
  3. Step 3: Cross multiply
    164.32x = 226.88 × 145.92
  4. Step 4: Simplify right side
    164.32x = 33,106.33
  5. Step 5: Solve for x
    x = 33,106.33/164.32
  6. Step 6: Final answer
    x = 201.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.