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Finding the Fourth Proportional to 365.47, 548.21 and 160.04

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Solution

The fourth proportional to 365.47, 548.21 and 160.04 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.47 : 548.21 = 160.04 : x
  2. Step 2: Convert to fraction form
    365.47/548.21 = 160.04/x
  3. Step 3: Cross multiply
    365.47x = 548.21 × 160.04
  4. Step 4: Simplify right side
    365.47x = 87,735.53
  5. Step 5: Solve for x
    x = 87,735.53/365.47
  6. Step 6: Final answer
    x = 240.06

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Why These Related Problems?

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