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Finding the Fourth Proportional to 364.27, 546.48 and 120.87

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Solution

The fourth proportional to 364.27, 546.48 and 120.87 is: 181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.27 : 546.48 = 120.87 : x
  2. Step 2: Convert to fraction form
    364.27/546.48 = 120.87/x
  3. Step 3: Cross multiply
    364.27x = 546.48 × 120.87
  4. Step 4: Simplify right side
    364.27x = 66,053.04
  5. Step 5: Solve for x
    x = 66,053.04/364.27
  6. Step 6: Final answer
    x = 181.33

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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.