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Finding the Fourth Proportional to 365.48, 548.44 and 160.05

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Solution

The fourth proportional to 365.48, 548.44 and 160.05 is: 240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.48 : 548.44 = 160.05 : x
  2. Step 2: Convert to fraction form
    365.48/548.44 = 160.05/x
  3. Step 3: Cross multiply
    365.48x = 548.44 × 160.05
  4. Step 4: Simplify right side
    365.48x = 87,777.82
  5. Step 5: Solve for x
    x = 87,777.82/365.48
  6. Step 6: Final answer
    x = 240.17

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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.