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Finding the Fourth Proportional to 234.34, 322.86 and 164.14

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Solution

The fourth proportional to 234.34, 322.86 and 164.14 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.34 : 322.86 = 164.14 : x
  2. Step 2: Convert to fraction form
    234.34/322.86 = 164.14/x
  3. Step 3: Cross multiply
    234.34x = 322.86 × 164.14
  4. Step 4: Simplify right side
    234.34x = 52,994.24
  5. Step 5: Solve for x
    x = 52,994.24/234.34
  6. Step 6: Final answer
    x = 226.14

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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.