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Finding the Fourth Proportional to 248.36, 342.84 and 170.84

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Solution

The fourth proportional to 248.36, 342.84 and 170.84 is: 235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 342.84 = 170.84 : x
  2. Step 2: Convert to fraction form
    248.36/342.84 = 170.84/x
  3. Step 3: Cross multiply
    248.36x = 342.84 × 170.84
  4. Step 4: Simplify right side
    248.36x = 58,570.79
  5. Step 5: Solve for x
    x = 58,570.79/248.36
  6. Step 6: Final answer
    x = 235.83

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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.