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Finding the Fourth Proportional to 234.14, 322.72 and 187.36

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Solution

The fourth proportional to 234.14, 322.72 and 187.36 is: 258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 322.72 = 187.36 : x
  2. Step 2: Convert to fraction form
    234.14/322.72 = 187.36/x
  3. Step 3: Cross multiply
    234.14x = 322.72 × 187.36
  4. Step 4: Simplify right side
    234.14x = 60,463.54
  5. Step 5: Solve for x
    x = 60,463.54/234.14
  6. Step 6: Final answer
    x = 258.24

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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.