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Finding the Fourth Proportional to 364.01, 546.12 and 144.73

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Solution

The fourth proportional to 364.01, 546.12 and 144.73 is: 217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.01 : 546.12 = 144.73 : x
  2. Step 2: Convert to fraction form
    364.01/546.12 = 144.73/x
  3. Step 3: Cross multiply
    364.01x = 546.12 × 144.73
  4. Step 4: Simplify right side
    364.01x = 79,038.58
  5. Step 5: Solve for x
    x = 79,038.58/364.01
  6. Step 6: Final answer
    x = 217.14

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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.