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Finding the Fourth Proportional to 240.82, 332.34 and 130.30

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Solution

The fourth proportional to 240.82, 332.34 and 130.30 is: 179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.82 : 332.34 = 130.30 : x
  2. Step 2: Convert to fraction form
    240.82/332.34 = 130.30/x
  3. Step 3: Cross multiply
    240.82x = 332.34 × 130.30
  4. Step 4: Simplify right side
    240.82x = 43,302.42
  5. Step 5: Solve for x
    x = 43,302.42/240.82
  6. Step 6: Final answer
    x = 179.81

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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.