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Finding the Fourth Proportional to 292.15, 403.11 and 166.11

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Solution

The fourth proportional to 292.15, 403.11 and 166.11 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.15 : 403.11 = 166.11 : x
  2. Step 2: Convert to fraction form
    292.15/403.11 = 166.11/x
  3. Step 3: Cross multiply
    292.15x = 403.11 × 166.11
  4. Step 4: Simplify right side
    292.15x = 66,960.60
  5. Step 5: Solve for x
    x = 66,960.60/292.15
  6. Step 6: Final answer
    x = 229.20

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