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Finding the Fourth Proportional to 365.49, 548.10 and 160.02

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Solution

The fourth proportional to 365.49, 548.10 and 160.02 is: 239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 548.10 = 160.02 : x
  2. Step 2: Convert to fraction form
    365.49/548.10 = 160.02/x
  3. Step 3: Cross multiply
    365.49x = 548.10 × 160.02
  4. Step 4: Simplify right side
    365.49x = 87,706.96
  5. Step 5: Solve for x
    x = 87,706.96/365.49
  6. Step 6: Final answer
    x = 239.97

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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.