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Finding the Fourth Proportional to 469.35, 703.89 and 161.19

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Solution

The fourth proportional to 469.35, 703.89 and 161.19 is: 241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.35 : 703.89 = 161.19 : x
  2. Step 2: Convert to fraction form
    469.35/703.89 = 161.19/x
  3. Step 3: Cross multiply
    469.35x = 703.89 × 161.19
  4. Step 4: Simplify right side
    469.35x = 113,460.03
  5. Step 5: Solve for x
    x = 113,460.03/469.35
  6. Step 6: Final answer
    x = 241.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.