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Finding the Fourth Proportional to 297.35, 410.34 and 164.58

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Solution

The fourth proportional to 297.35, 410.34 and 164.58 is: 227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.35 : 410.34 = 164.58 : x
  2. Step 2: Convert to fraction form
    297.35/410.34 = 164.58/x
  3. Step 3: Cross multiply
    297.35x = 410.34 × 164.58
  4. Step 4: Simplify right side
    297.35x = 67,533.76
  5. Step 5: Solve for x
    x = 67,533.76/297.35
  6. Step 6: Final answer
    x = 227.12

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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.