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Finding the Fourth Proportional to 248.98, 343.68 and 150.70

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Solution

The fourth proportional to 248.98, 343.68 and 150.70 is: 208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.98 : 343.68 = 150.70 : x
  2. Step 2: Convert to fraction form
    248.98/343.68 = 150.70/x
  3. Step 3: Cross multiply
    248.98x = 343.68 × 150.70
  4. Step 4: Simplify right side
    248.98x = 51,792.58
  5. Step 5: Solve for x
    x = 51,792.58/248.98
  6. Step 6: Final answer
    x = 208.02

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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.