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Finding the Fourth Proportional to 364.49, 546.35 and 120.95

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Solution

The fourth proportional to 364.49, 546.35 and 120.95 is: 181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.49 : 546.35 = 120.95 : x
  2. Step 2: Convert to fraction form
    364.49/546.35 = 120.95/x
  3. Step 3: Cross multiply
    364.49x = 546.35 × 120.95
  4. Step 4: Simplify right side
    364.49x = 66,077.70
  5. Step 5: Solve for x
    x = 66,077.70/364.49
  6. Step 6: Final answer
    x = 181.29

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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.