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Finding the Fourth Proportional to 248.42, 342.70 and 159.86

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Solution

The fourth proportional to 248.42, 342.70 and 159.86 is: 220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.42 : 342.70 = 159.86 : x
  2. Step 2: Convert to fraction form
    248.42/342.70 = 159.86/x
  3. Step 3: Cross multiply
    248.42x = 342.70 × 159.86
  4. Step 4: Simplify right side
    248.42x = 54,784.02
  5. Step 5: Solve for x
    x = 54,784.02/248.42
  6. Step 6: Final answer
    x = 220.53

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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.