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Finding the Fourth Proportional to 365.24, 547.90 and 121.79

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Solution

The fourth proportional to 365.24, 547.90 and 121.79 is: 182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.24 : 547.90 = 121.79 : x
  2. Step 2: Convert to fraction form
    365.24/547.90 = 121.79/x
  3. Step 3: Cross multiply
    365.24x = 547.90 × 121.79
  4. Step 4: Simplify right side
    365.24x = 66,728.74
  5. Step 5: Solve for x
    x = 66,728.74/365.24
  6. Step 6: Final answer
    x = 182.70

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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.