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Finding the Fourth Proportional to 364.53, 546.80 and 120.96

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Solution

The fourth proportional to 364.53, 546.80 and 120.96 is: 181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.53 : 546.80 = 120.96 : x
  2. Step 2: Convert to fraction form
    364.53/546.80 = 120.96/x
  3. Step 3: Cross multiply
    364.53x = 546.80 × 120.96
  4. Step 4: Simplify right side
    364.53x = 66,140.32
  5. Step 5: Solve for x
    x = 66,140.32/364.53
  6. Step 6: Final answer
    x = 181.44

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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.