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Finding the Fourth Proportional to 365.84, 548.77 and 160.30

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Solution

The fourth proportional to 365.84, 548.77 and 160.30 is: 240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 548.77 = 160.30 : x
  2. Step 2: Convert to fraction form
    365.84/548.77 = 160.30/x
  3. Step 3: Cross multiply
    365.84x = 548.77 × 160.30
  4. Step 4: Simplify right side
    365.84x = 87,967.03
  5. Step 5: Solve for x
    x = 87,967.03/365.84
  6. Step 6: Final answer
    x = 240.46

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