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Finding the Fourth Proportional to 234.07, 322.80 and 175.20

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Solution

The fourth proportional to 234.07, 322.80 and 175.20 is: 241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.07 : 322.80 = 175.20 : x
  2. Step 2: Convert to fraction form
    234.07/322.80 = 175.20/x
  3. Step 3: Cross multiply
    234.07x = 322.80 × 175.20
  4. Step 4: Simplify right side
    234.07x = 56,554.56
  5. Step 5: Solve for x
    x = 56,554.56/234.07
  6. Step 6: Final answer
    x = 241.61

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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.