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Finding the Fourth Proportional to 292.14, 403.04 and 167.77

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Solution

The fourth proportional to 292.14, 403.04 and 167.77 is: 231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 403.04 = 167.77 : x
  2. Step 2: Convert to fraction form
    292.14/403.04 = 167.77/x
  3. Step 3: Cross multiply
    292.14x = 403.04 × 167.77
  4. Step 4: Simplify right side
    292.14x = 67,618.02
  5. Step 5: Solve for x
    x = 67,618.02/292.14
  6. Step 6: Final answer
    x = 231.46

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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.