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Finding the Fourth Proportional to 164.94, 246.17 and 160.62

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Solution

The fourth proportional to 164.94, 246.17 and 160.62 is: 239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 246.17 = 160.62 : x
  2. Step 2: Convert to fraction form
    164.94/246.17 = 160.62/x
  3. Step 3: Cross multiply
    164.94x = 246.17 × 160.62
  4. Step 4: Simplify right side
    164.94x = 39,539.02
  5. Step 5: Solve for x
    x = 39,539.02/164.94
  6. Step 6: Final answer
    x = 239.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.