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Finding the Fourth Proportional to 248.36, 342.65 and 144.86

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Solution

The fourth proportional to 248.36, 342.65 and 144.86 is: 199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.36 : 342.65 = 144.86 : x
  2. Step 2: Convert to fraction form
    248.36/342.65 = 144.86/x
  3. Step 3: Cross multiply
    248.36x = 342.65 × 144.86
  4. Step 4: Simplify right side
    248.36x = 49,635.06
  5. Step 5: Solve for x
    x = 49,635.06/248.36
  6. Step 6: Final answer
    x = 199.85

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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.