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Finding the Fourth Proportional to 234.48, 322.83 and 187.68

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Solution

The fourth proportional to 234.48, 322.83 and 187.68 is: 258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.48 : 322.83 = 187.68 : x
  2. Step 2: Convert to fraction form
    234.48/322.83 = 187.68/x
  3. Step 3: Cross multiply
    234.48x = 322.83 × 187.68
  4. Step 4: Simplify right side
    234.48x = 60,588.73
  5. Step 5: Solve for x
    x = 60,588.73/234.48
  6. Step 6: Final answer
    x = 258.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.