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Finding the Fourth Proportional to 234.02, 323.08 and 146.80

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Solution

The fourth proportional to 234.02, 323.08 and 146.80 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 323.08 = 146.80 : x
  2. Step 2: Convert to fraction form
    234.02/323.08 = 146.80/x
  3. Step 3: Cross multiply
    234.02x = 323.08 × 146.80
  4. Step 4: Simplify right side
    234.02x = 47,428.14
  5. Step 5: Solve for x
    x = 47,428.14/234.02
  6. Step 6: Final answer
    x = 202.67

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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.