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Finding the Fourth Proportional to 248.07, 342.32 and 143.15

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Solution

The fourth proportional to 248.07, 342.32 and 143.15 is: 197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.07 : 342.32 = 143.15 : x
  2. Step 2: Convert to fraction form
    248.07/342.32 = 143.15/x
  3. Step 3: Cross multiply
    248.07x = 342.32 × 143.15
  4. Step 4: Simplify right side
    248.07x = 49,003.11
  5. Step 5: Solve for x
    x = 49,003.11/248.07
  6. Step 6: Final answer
    x = 197.54

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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.