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Finding the Fourth Proportional to 297.23, 410.16 and 164.45

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Solution

The fourth proportional to 297.23, 410.16 and 164.45 is: 226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.23 : 410.16 = 164.45 : x
  2. Step 2: Convert to fraction form
    297.23/410.16 = 164.45/x
  3. Step 3: Cross multiply
    297.23x = 410.16 × 164.45
  4. Step 4: Simplify right side
    297.23x = 67,450.81
  5. Step 5: Solve for x
    x = 67,450.81/297.23
  6. Step 6: Final answer
    x = 226.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.