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Finding the Fourth Proportional to 292.09, 403.09 and 161.10

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Solution

The fourth proportional to 292.09, 403.09 and 161.10 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.09 : 403.09 = 161.10 : x
  2. Step 2: Convert to fraction form
    292.09/403.09 = 161.10/x
  3. Step 3: Cross multiply
    292.09x = 403.09 × 161.10
  4. Step 4: Simplify right side
    292.09x = 64,937.80
  5. Step 5: Solve for x
    x = 64,937.80/292.09
  6. Step 6: Final answer
    x = 222.32

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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.