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Finding the Fourth Proportional to 164.16, 247.59 and 162.33

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Solution

The fourth proportional to 164.16, 247.59 and 162.33 is: 244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 247.59 = 162.33 : x
  2. Step 2: Convert to fraction form
    164.16/247.59 = 162.33/x
  3. Step 3: Cross multiply
    164.16x = 247.59 × 162.33
  4. Step 4: Simplify right side
    164.16x = 40,191.28
  5. Step 5: Solve for x
    x = 40,191.28/164.16
  6. Step 6: Final answer
    x = 244.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.