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Finding the Fourth Proportional to 364.56, 546.62 and 121.10

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Solution

The fourth proportional to 364.56, 546.62 and 121.10 is: 181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.56 : 546.62 = 121.10 : x
  2. Step 2: Convert to fraction form
    364.56/546.62 = 121.10/x
  3. Step 3: Cross multiply
    364.56x = 546.62 × 121.10
  4. Step 4: Simplify right side
    364.56x = 66,195.68
  5. Step 5: Solve for x
    x = 66,195.68/364.56
  6. Step 6: Final answer
    x = 181.58

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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.