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Finding the Fourth Proportional to 234.01, 322.85 and 135.75

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Solution

The fourth proportional to 234.01, 322.85 and 135.75 is: 187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.01 : 322.85 = 135.75 : x
  2. Step 2: Convert to fraction form
    234.01/322.85 = 135.75/x
  3. Step 3: Cross multiply
    234.01x = 322.85 × 135.75
  4. Step 4: Simplify right side
    234.01x = 43,826.21
  5. Step 5: Solve for x
    x = 43,826.21/234.01
  6. Step 6: Final answer
    x = 187.29

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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.