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Finding the Fourth Proportional to 364.63, 547.17 and 159.20

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Solution

The fourth proportional to 364.63, 547.17 and 159.20 is: 238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.63 : 547.17 = 159.20 : x
  2. Step 2: Convert to fraction form
    364.63/547.17 = 159.20/x
  3. Step 3: Cross multiply
    364.63x = 547.17 × 159.20
  4. Step 4: Simplify right side
    364.63x = 87,109.46
  5. Step 5: Solve for x
    x = 87,109.46/364.63
  6. Step 6: Final answer
    x = 238.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.