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Finding the Fourth Proportional to 164.23, 245.91 and 138.48

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Solution

The fourth proportional to 164.23, 245.91 and 138.48 is: 207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.23 : 245.91 = 138.48 : x
  2. Step 2: Convert to fraction form
    164.23/245.91 = 138.48/x
  3. Step 3: Cross multiply
    164.23x = 245.91 × 138.48
  4. Step 4: Simplify right side
    164.23x = 34,054.90
  5. Step 5: Solve for x
    x = 34,054.90/164.23
  6. Step 6: Final answer
    x = 207.36

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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.