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Finding the Fourth Proportional to 248.32, 342.76 and 159.84

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Solution

The fourth proportional to 248.32, 342.76 and 159.84 is: 220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.32 : 342.76 = 159.84 : x
  2. Step 2: Convert to fraction form
    248.32/342.76 = 159.84/x
  3. Step 3: Cross multiply
    248.32x = 342.76 × 159.84
  4. Step 4: Simplify right side
    248.32x = 54,786.76
  5. Step 5: Solve for x
    x = 54,786.76/248.32
  6. Step 6: Final answer
    x = 220.63

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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.