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Finding the Fourth Proportional to 164.08, 226.02 and 153.64

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Solution

The fourth proportional to 164.08, 226.02 and 153.64 is: 211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.08 : 226.02 = 153.64 : x
  2. Step 2: Convert to fraction form
    164.08/226.02 = 153.64/x
  3. Step 3: Cross multiply
    164.08x = 226.02 × 153.64
  4. Step 4: Simplify right side
    164.08x = 34,725.71
  5. Step 5: Solve for x
    x = 34,725.71/164.08
  6. Step 6: Final answer
    x = 211.64

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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.