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Finding the Fourth Proportional to 292.53, 403.68 and 161.54

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Solution

The fourth proportional to 292.53, 403.68 and 161.54 is: 222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 403.68 = 161.54 : x
  2. Step 2: Convert to fraction form
    292.53/403.68 = 161.54/x
  3. Step 3: Cross multiply
    292.53x = 403.68 × 161.54
  4. Step 4: Simplify right side
    292.53x = 65,208.45
  5. Step 5: Solve for x
    x = 65,208.45/292.53
  6. Step 6: Final answer
    x = 222.91

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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.