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Finding the Fourth Proportional to 364.61, 546.85 and 121.14

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Solution

The fourth proportional to 364.61, 546.85 and 121.14 is: 181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.61 : 546.85 = 121.14 : x
  2. Step 2: Convert to fraction form
    364.61/546.85 = 121.14/x
  3. Step 3: Cross multiply
    364.61x = 546.85 × 121.14
  4. Step 4: Simplify right side
    364.61x = 66,245.41
  5. Step 5: Solve for x
    x = 66,245.41/364.61
  6. Step 6: Final answer
    x = 181.69

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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.