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Finding the Fourth Proportional to 292.04, 403.04 and 161.05

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Solution

The fourth proportional to 292.04, 403.04 and 161.05 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.04 : 403.04 = 161.05 : x
  2. Step 2: Convert to fraction form
    292.04/403.04 = 161.05/x
  3. Step 3: Cross multiply
    292.04x = 403.04 × 161.05
  4. Step 4: Simplify right side
    292.04x = 64,909.63
  5. Step 5: Solve for x
    x = 64,909.63/292.04
  6. Step 6: Final answer
    x = 222.26

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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.