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Finding the Fourth Proportional to 248.23, 342.82 and 155.19

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Solution

The fourth proportional to 248.23, 342.82 and 155.19 is: 214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.23 : 342.82 = 155.19 : x
  2. Step 2: Convert to fraction form
    248.23/342.82 = 155.19/x
  3. Step 3: Cross multiply
    248.23x = 342.82 × 155.19
  4. Step 4: Simplify right side
    248.23x = 53,203.72
  5. Step 5: Solve for x
    x = 53,203.72/248.23
  6. Step 6: Final answer
    x = 214.33

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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.