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Finding the Fourth Proportional to 365.32, 548.14 and 182.72

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Solution

The fourth proportional to 365.32, 548.14 and 182.72 is: 274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.32 : 548.14 = 182.72 : x
  2. Step 2: Convert to fraction form
    365.32/548.14 = 182.72/x
  3. Step 3: Cross multiply
    365.32x = 548.14 × 182.72
  4. Step 4: Simplify right side
    365.32x = 100,156.14
  5. Step 5: Solve for x
    x = 100,156.14/365.32
  6. Step 6: Final answer
    x = 274.16

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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.