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Finding the Fourth Proportional to 234.48, 322.88 and 185.22

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Solution

The fourth proportional to 234.48, 322.88 and 185.22 is: 255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.48 : 322.88 = 185.22 : x
  2. Step 2: Convert to fraction form
    234.48/322.88 = 185.22/x
  3. Step 3: Cross multiply
    234.48x = 322.88 × 185.22
  4. Step 4: Simplify right side
    234.48x = 59,803.83
  5. Step 5: Solve for x
    x = 59,803.83/234.48
  6. Step 6: Final answer
    x = 255.05

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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.