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Finding the Fourth Proportional to 234.14, 323.06 and 146.76

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Solution

The fourth proportional to 234.14, 323.06 and 146.76 is: 202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 323.06 = 146.76 : x
  2. Step 2: Convert to fraction form
    234.14/323.06 = 146.76/x
  3. Step 3: Cross multiply
    234.14x = 323.06 × 146.76
  4. Step 4: Simplify right side
    234.14x = 47,412.29
  5. Step 5: Solve for x
    x = 47,412.29/234.14
  6. Step 6: Final answer
    x = 202.50

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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.