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Finding the Fourth Proportional to 344.71, 516.93 and 162.01

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Solution

The fourth proportional to 344.71, 516.93 and 162.01 is: 242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.71 : 516.93 = 162.01 : x
  2. Step 2: Convert to fraction form
    344.71/516.93 = 162.01/x
  3. Step 3: Cross multiply
    344.71x = 516.93 × 162.01
  4. Step 4: Simplify right side
    344.71x = 83,747.83
  5. Step 5: Solve for x
    x = 83,747.83/344.71
  6. Step 6: Final answer
    x = 242.95

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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.