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Finding the Fourth Proportional to 164.04, 225.78 and 135

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Solution

The fourth proportional to 164.04, 225.78 and 135 is: 185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.04 : 225.78 = 135 : x
  2. Step 2: Convert to fraction form
    164.04/225.78 = 135/x
  3. Step 3: Cross multiply
    164.04x = 225.78 × 135
  4. Step 4: Simplify right side
    164.04x = 30,480.30
  5. Step 5: Solve for x
    x = 30,480.30/164.04
  6. Step 6: Final answer
    x = 185.81

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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.