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Finding the Fourth Proportional to 364.25, 546.35 and 120.77

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Solution

The fourth proportional to 364.25, 546.35 and 120.77 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.25 : 546.35 = 120.77 : x
  2. Step 2: Convert to fraction form
    364.25/546.35 = 120.77/x
  3. Step 3: Cross multiply
    364.25x = 546.35 × 120.77
  4. Step 4: Simplify right side
    364.25x = 65,982.69
  5. Step 5: Solve for x
    x = 65,982.69/364.25
  6. Step 6: Final answer
    x = 181.15

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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.