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Finding the Fourth Proportional to 292.95, 404.21 and 161.93

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Solution

The fourth proportional to 292.95, 404.21 and 161.93 is: 223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.95 : 404.21 = 161.93 : x
  2. Step 2: Convert to fraction form
    292.95/404.21 = 161.93/x
  3. Step 3: Cross multiply
    292.95x = 404.21 × 161.93
  4. Step 4: Simplify right side
    292.95x = 65,455.14
  5. Step 5: Solve for x
    x = 65,455.14/292.95
  6. Step 6: Final answer
    x = 223.43

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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.