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Finding the Fourth Proportional to 164.42, 226.46 and 152.11

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Solution

The fourth proportional to 164.42, 226.46 and 152.11 is: 209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 226.46 = 152.11 : x
  2. Step 2: Convert to fraction form
    164.42/226.46 = 152.11/x
  3. Step 3: Cross multiply
    164.42x = 226.46 × 152.11
  4. Step 4: Simplify right side
    164.42x = 34,446.64
  5. Step 5: Solve for x
    x = 34,446.64/164.42
  6. Step 6: Final answer
    x = 209.50

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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.