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Finding the Fourth Proportional to 234.22, 350.84 and 152.82

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Solution

The fourth proportional to 234.22, 350.84 and 152.82 is: 228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.22 : 350.84 = 152.82 : x
  2. Step 2: Convert to fraction form
    234.22/350.84 = 152.82/x
  3. Step 3: Cross multiply
    234.22x = 350.84 × 152.82
  4. Step 4: Simplify right side
    234.22x = 53,615.37
  5. Step 5: Solve for x
    x = 53,615.37/234.22
  6. Step 6: Final answer
    x = 228.91

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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.