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Finding the Fourth Proportional to 365.66, 548.58 and 109.16

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Solution

The fourth proportional to 365.66, 548.58 and 109.16 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.66 : 548.58 = 109.16 : x
  2. Step 2: Convert to fraction form
    365.66/548.58 = 109.16/x
  3. Step 3: Cross multiply
    365.66x = 548.58 × 109.16
  4. Step 4: Simplify right side
    365.66x = 59,880.87
  5. Step 5: Solve for x
    x = 59,880.87/365.66
  6. Step 6: Final answer
    x = 163.76

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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.