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Finding the Fourth Proportional to 469.48, 703.86 and 161.16

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Solution

The fourth proportional to 469.48, 703.86 and 161.16 is: 241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 703.86 = 161.16 : x
  2. Step 2: Convert to fraction form
    469.48/703.86 = 161.16/x
  3. Step 3: Cross multiply
    469.48x = 703.86 × 161.16
  4. Step 4: Simplify right side
    469.48x = 113,434.08
  5. Step 5: Solve for x
    x = 113,434.08/469.48
  6. Step 6: Final answer
    x = 241.62

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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.