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Finding the Fourth Proportional to 365.51, 548.17 and 160.03

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Solution

The fourth proportional to 365.51, 548.17 and 160.03 is: 240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.51 : 548.17 = 160.03 : x
  2. Step 2: Convert to fraction form
    365.51/548.17 = 160.03/x
  3. Step 3: Cross multiply
    365.51x = 548.17 × 160.03
  4. Step 4: Simplify right side
    365.51x = 87,723.93
  5. Step 5: Solve for x
    x = 87,723.93/365.51
  6. Step 6: Final answer
    x = 240.00

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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.