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Finding the Fourth Proportional to 292.08, 403.01 and 167.71

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Solution

The fourth proportional to 292.08, 403.01 and 167.71 is: 231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 403.01 = 167.71 : x
  2. Step 2: Convert to fraction form
    292.08/403.01 = 167.71/x
  3. Step 3: Cross multiply
    292.08x = 403.01 × 167.71
  4. Step 4: Simplify right side
    292.08x = 67,588.81
  5. Step 5: Solve for x
    x = 67,588.81/292.08
  6. Step 6: Final answer
    x = 231.41

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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.