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Finding the Fourth Proportional to 164.39, 246.61 and 161.47

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Solution

The fourth proportional to 164.39, 246.61 and 161.47 is: 242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.39 : 246.61 = 161.47 : x
  2. Step 2: Convert to fraction form
    164.39/246.61 = 161.47/x
  3. Step 3: Cross multiply
    164.39x = 246.61 × 161.47
  4. Step 4: Simplify right side
    164.39x = 39,820.63
  5. Step 5: Solve for x
    x = 39,820.63/164.39
  6. Step 6: Final answer
    x = 242.24

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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.