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Finding the Fourth Proportional to 342.09, 472.09 and 186.84

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Solution

The fourth proportional to 342.09, 472.09 and 186.84 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.09 : 472.09 = 186.84 : x
  2. Step 2: Convert to fraction form
    342.09/472.09 = 186.84/x
  3. Step 3: Cross multiply
    342.09x = 472.09 × 186.84
  4. Step 4: Simplify right side
    342.09x = 88,207.30
  5. Step 5: Solve for x
    x = 88,207.30/342.09
  6. Step 6: Final answer
    x = 257.85

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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.