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Finding the Fourth Proportional to 292.15, 403.14 and 161.17

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Solution

The fourth proportional to 292.15, 403.14 and 161.17 is: 222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.15 : 403.14 = 161.17 : x
  2. Step 2: Convert to fraction form
    292.15/403.14 = 161.17/x
  3. Step 3: Cross multiply
    292.15x = 403.14 × 161.17
  4. Step 4: Simplify right side
    292.15x = 64,974.07
  5. Step 5: Solve for x
    x = 64,974.07/292.15
  6. Step 6: Final answer
    x = 222.40

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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.