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Finding the Fourth Proportional to 365.88, 548.79 and 160.41

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Solution

The fourth proportional to 365.88, 548.79 and 160.41 is: 240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.88 : 548.79 = 160.41 : x
  2. Step 2: Convert to fraction form
    365.88/548.79 = 160.41/x
  3. Step 3: Cross multiply
    365.88x = 548.79 × 160.41
  4. Step 4: Simplify right side
    365.88x = 88,031.40
  5. Step 5: Solve for x
    x = 88,031.40/365.88
  6. Step 6: Final answer
    x = 240.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.