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Finding the Fourth Proportional to 344.51, 516.93 and 161.88

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Solution

The fourth proportional to 344.51, 516.93 and 161.88 is: 242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.51 : 516.93 = 161.88 : x
  2. Step 2: Convert to fraction form
    344.51/516.93 = 161.88/x
  3. Step 3: Cross multiply
    344.51x = 516.93 × 161.88
  4. Step 4: Simplify right side
    344.51x = 83,677.23
  5. Step 5: Solve for x
    x = 83,677.23/344.51
  6. Step 6: Final answer
    x = 242.89

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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.