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Finding the Fourth Proportional to 365.11, 547.65 and 121.64

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Solution

The fourth proportional to 365.11, 547.65 and 121.64 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.11 : 547.65 = 121.64 : x
  2. Step 2: Convert to fraction form
    365.11/547.65 = 121.64/x
  3. Step 3: Cross multiply
    365.11x = 547.65 × 121.64
  4. Step 4: Simplify right side
    365.11x = 66,613.41
  5. Step 5: Solve for x
    x = 66,613.41/365.11
  6. Step 6: Final answer
    x = 182.45

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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.