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Finding the Fourth Proportional to 164.31, 247.62 and 162.90

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Solution

The fourth proportional to 164.31, 247.62 and 162.90 is: 245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 247.62 = 162.90 : x
  2. Step 2: Convert to fraction form
    164.31/247.62 = 162.90/x
  3. Step 3: Cross multiply
    164.31x = 247.62 × 162.90
  4. Step 4: Simplify right side
    164.31x = 40,337.30
  5. Step 5: Solve for x
    x = 40,337.30/164.31
  6. Step 6: Final answer
    x = 245.50

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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.