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Finding the Fourth Proportional to 469.23, 703.41 and 161.02

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Solution

The fourth proportional to 469.23, 703.41 and 161.02 is: 241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.23 : 703.41 = 161.02 : x
  2. Step 2: Convert to fraction form
    469.23/703.41 = 161.02/x
  3. Step 3: Cross multiply
    469.23x = 703.41 × 161.02
  4. Step 4: Simplify right side
    469.23x = 113,263.08
  5. Step 5: Solve for x
    x = 113,263.08/469.23
  6. Step 6: Final answer
    x = 241.38

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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.