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Finding the Fourth Proportional to 364.13, 546.19 and 147.86

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Solution

The fourth proportional to 364.13, 546.19 and 147.86 is: 221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.13 : 546.19 = 147.86 : x
  2. Step 2: Convert to fraction form
    364.13/546.19 = 147.86/x
  3. Step 3: Cross multiply
    364.13x = 546.19 × 147.86
  4. Step 4: Simplify right side
    364.13x = 80,756.55
  5. Step 5: Solve for x
    x = 80,756.55/364.13
  6. Step 6: Final answer
    x = 221.78

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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.