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Finding the Fourth Proportional to 234.14, 350.70 and 184.77

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Solution

The fourth proportional to 234.14, 350.70 and 184.77 is: 276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 350.70 = 184.77 : x
  2. Step 2: Convert to fraction form
    234.14/350.70 = 184.77/x
  3. Step 3: Cross multiply
    234.14x = 350.70 × 184.77
  4. Step 4: Simplify right side
    234.14x = 64,798.84
  5. Step 5: Solve for x
    x = 64,798.84/234.14
  6. Step 6: Final answer
    x = 276.76

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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.