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Finding the Fourth Proportional to 365.53, 548.35 and 160.09

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Solution

The fourth proportional to 365.53, 548.35 and 160.09 is: 240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.53 : 548.35 = 160.09 : x
  2. Step 2: Convert to fraction form
    365.53/548.35 = 160.09/x
  3. Step 3: Cross multiply
    365.53x = 548.35 × 160.09
  4. Step 4: Simplify right side
    365.53x = 87,785.35
  5. Step 5: Solve for x
    x = 87,785.35/365.53
  6. Step 6: Final answer
    x = 240.16

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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.