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Finding the Fourth Proportional to 248.81, 343.58 and 179.24

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Solution

The fourth proportional to 248.81, 343.58 and 179.24 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 343.58 = 179.24 : x
  2. Step 2: Convert to fraction form
    248.81/343.58 = 179.24/x
  3. Step 3: Cross multiply
    248.81x = 343.58 × 179.24
  4. Step 4: Simplify right side
    248.81x = 61,580.67
  5. Step 5: Solve for x
    x = 61,580.67/248.81
  6. Step 6: Final answer
    x = 247.51

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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.