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Finding the Fourth Proportional to 234.12, 322.98 and 156.44

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Solution

The fourth proportional to 234.12, 322.98 and 156.44 is: 215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.12 : 322.98 = 156.44 : x
  2. Step 2: Convert to fraction form
    234.12/322.98 = 156.44/x
  3. Step 3: Cross multiply
    234.12x = 322.98 × 156.44
  4. Step 4: Simplify right side
    234.12x = 50,526.99
  5. Step 5: Solve for x
    x = 50,526.99/234.12
  6. Step 6: Final answer
    x = 215.82

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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.