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Finding the Fourth Proportional to 164.66, 226.92 and 153.04

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Solution

The fourth proportional to 164.66, 226.92 and 153.04 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.66 : 226.92 = 153.04 : x
  2. Step 2: Convert to fraction form
    164.66/226.92 = 153.04/x
  3. Step 3: Cross multiply
    164.66x = 226.92 × 153.04
  4. Step 4: Simplify right side
    164.66x = 34,727.84
  5. Step 5: Solve for x
    x = 34,727.84/164.66
  6. Step 6: Final answer
    x = 210.91

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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.