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Finding the Fourth Proportional to 364.93, 547.49 and 121.46

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Solution

The fourth proportional to 364.93, 547.49 and 121.46 is: 182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.93 : 547.49 = 121.46 : x
  2. Step 2: Convert to fraction form
    364.93/547.49 = 121.46/x
  3. Step 3: Cross multiply
    364.93x = 547.49 × 121.46
  4. Step 4: Simplify right side
    364.93x = 66,494.79
  5. Step 5: Solve for x
    x = 66,494.79/364.93
  6. Step 6: Final answer
    x = 182.21

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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.