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Finding the Fourth Proportional to 234.24, 351.08 and 165.40

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Solution

The fourth proportional to 234.24, 351.08 and 165.40 is: 247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.24 : 351.08 = 165.40 : x
  2. Step 2: Convert to fraction form
    234.24/351.08 = 165.40/x
  3. Step 3: Cross multiply
    234.24x = 351.08 × 165.40
  4. Step 4: Simplify right side
    234.24x = 58,068.63
  5. Step 5: Solve for x
    x = 58,068.63/234.24
  6. Step 6: Final answer
    x = 247.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.