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Finding the Fourth Proportional to 469.34, 703.89 and 161.18

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Solution

The fourth proportional to 469.34, 703.89 and 161.18 is: 241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.34 : 703.89 = 161.18 : x
  2. Step 2: Convert to fraction form
    469.34/703.89 = 161.18/x
  3. Step 3: Cross multiply
    469.34x = 703.89 × 161.18
  4. Step 4: Simplify right side
    469.34x = 113,449.47
  5. Step 5: Solve for x
    x = 113,449.47/469.34
  6. Step 6: Final answer
    x = 241.72

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Why These Related Problems?

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