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Finding the Fourth Proportional to 364.80, 546.78 and 182.02

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Solution

The fourth proportional to 364.80, 546.78 and 182.02 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 546.78 = 182.02 : x
  2. Step 2: Convert to fraction form
    364.80/546.78 = 182.02/x
  3. Step 3: Cross multiply
    364.80x = 546.78 × 182.02
  4. Step 4: Simplify right side
    364.80x = 99,524.90
  5. Step 5: Solve for x
    x = 99,524.90/364.80
  6. Step 6: Final answer
    x = 272.82

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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.