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Finding the Fourth Proportional to 344.03, 515.84 and 161.51

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Solution

The fourth proportional to 344.03, 515.84 and 161.51 is: 242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.03 : 515.84 = 161.51 : x
  2. Step 2: Convert to fraction form
    344.03/515.84 = 161.51/x
  3. Step 3: Cross multiply
    344.03x = 515.84 × 161.51
  4. Step 4: Simplify right side
    344.03x = 83,309.93
  5. Step 5: Solve for x
    x = 83,309.93/344.03
  6. Step 6: Final answer
    x = 242.16

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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.