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Finding the Fourth Proportional to 164.57, 246.32 and 125.99

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Solution

The fourth proportional to 164.57, 246.32 and 125.99 is: 188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 246.32 = 125.99 : x
  2. Step 2: Convert to fraction form
    164.57/246.32 = 125.99/x
  3. Step 3: Cross multiply
    164.57x = 246.32 × 125.99
  4. Step 4: Simplify right side
    164.57x = 31,033.04
  5. Step 5: Solve for x
    x = 31,033.04/164.57
  6. Step 6: Final answer
    x = 188.58

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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.