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Finding the Fourth Proportional to 365.27, 547.80 and 105.24

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Solution

The fourth proportional to 365.27, 547.80 and 105.24 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.27 : 547.80 = 105.24 : x
  2. Step 2: Convert to fraction form
    365.27/547.80 = 105.24/x
  3. Step 3: Cross multiply
    365.27x = 547.80 × 105.24
  4. Step 4: Simplify right side
    365.27x = 57,652.13
  5. Step 5: Solve for x
    x = 57,652.13/365.27
  6. Step 6: Final answer
    x = 157.84

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Why These Related Problems?

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