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Finding the Fourth Proportional to 164.50, 246.50 and 118.94

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Solution

The fourth proportional to 164.50, 246.50 and 118.94 is: 178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 246.50 = 118.94 : x
  2. Step 2: Convert to fraction form
    164.50/246.50 = 118.94/x
  3. Step 3: Cross multiply
    164.50x = 246.50 × 118.94
  4. Step 4: Simplify right side
    164.50x = 29,319.01
  5. Step 5: Solve for x
    x = 29,319.01/164.50
  6. Step 6: Final answer
    x = 178.24

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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.