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Finding the Fourth Proportional to 342.81, 472.93 and 195.41

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Solution

The fourth proportional to 342.81, 472.93 and 195.41 is: 269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.81 : 472.93 = 195.41 : x
  2. Step 2: Convert to fraction form
    342.81/472.93 = 195.41/x
  3. Step 3: Cross multiply
    342.81x = 472.93 × 195.41
  4. Step 4: Simplify right side
    342.81x = 92,412.89
  5. Step 5: Solve for x
    x = 92,412.89/342.81
  6. Step 6: Final answer
    x = 269.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.