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Finding the Fourth Proportional to 248.34, 342.61 and 159.81

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Solution

The fourth proportional to 248.34, 342.61 and 159.81 is: 220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.34 : 342.61 = 159.81 : x
  2. Step 2: Convert to fraction form
    248.34/342.61 = 159.81/x
  3. Step 3: Cross multiply
    248.34x = 342.61 × 159.81
  4. Step 4: Simplify right side
    248.34x = 54,750.79
  5. Step 5: Solve for x
    x = 54,750.79/248.34
  6. Step 6: Final answer
    x = 220.47

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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.