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Finding the Fourth Proportional to 292.12, 403.07 and 167.77

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Solution

The fourth proportional to 292.12, 403.07 and 167.77 is: 231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.12 : 403.07 = 167.77 : x
  2. Step 2: Convert to fraction form
    292.12/403.07 = 167.77/x
  3. Step 3: Cross multiply
    292.12x = 403.07 × 167.77
  4. Step 4: Simplify right side
    292.12x = 67,621.04
  5. Step 5: Solve for x
    x = 67,621.04/292.12
  6. Step 6: Final answer
    x = 231.49

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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.