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Finding the Fourth Proportional to 364.38, 546.63 and 120.93

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Solution

The fourth proportional to 364.38, 546.63 and 120.93 is: 181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 546.63 = 120.93 : x
  2. Step 2: Convert to fraction form
    364.38/546.63 = 120.93/x
  3. Step 3: Cross multiply
    364.38x = 546.63 × 120.93
  4. Step 4: Simplify right side
    364.38x = 66,103.97
  5. Step 5: Solve for x
    x = 66,103.97/364.38
  6. Step 6: Final answer
    x = 181.41

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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.