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Finding the Fourth Proportional to 365.11, 547.63 and 118.29

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Solution

The fourth proportional to 365.11, 547.63 and 118.29 is: 177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.11 : 547.63 = 118.29 : x
  2. Step 2: Convert to fraction form
    365.11/547.63 = 118.29/x
  3. Step 3: Cross multiply
    365.11x = 547.63 × 118.29
  4. Step 4: Simplify right side
    365.11x = 64,779.15
  5. Step 5: Solve for x
    x = 64,779.15/365.11
  6. Step 6: Final answer
    x = 177.42

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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.