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Finding the Fourth Proportional to 297.05, 409.93 and 166.06

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Solution

The fourth proportional to 297.05, 409.93 and 166.06 is: 229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.05 : 409.93 = 166.06 : x
  2. Step 2: Convert to fraction form
    297.05/409.93 = 166.06/x
  3. Step 3: Cross multiply
    297.05x = 409.93 × 166.06
  4. Step 4: Simplify right side
    297.05x = 68,070.10
  5. Step 5: Solve for x
    x = 68,070.10/297.05
  6. Step 6: Final answer
    x = 229.15

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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.