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Finding the Fourth Proportional to 699.62, 1,049.31 and 186.50

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Solution

The fourth proportional to 699.62, 1,049.31 and 186.50 is: 279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.62 : 1,049.31 = 186.50 : x
  2. Step 2: Convert to fraction form
    699.62/1,049.31 = 186.50/x
  3. Step 3: Cross multiply
    699.62x = 1,049.31 × 186.50
  4. Step 4: Simplify right side
    699.62x = 195,696.32
  5. Step 5: Solve for x
    x = 195,696.32/699.62
  6. Step 6: Final answer
    x = 279.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.