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Finding the Fourth Proportional to 199, 296.78 and 185.32

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Solution

The fourth proportional to 199, 296.78 and 185.32 is: 276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199 : 296.78 = 185.32 : x
  2. Step 2: Convert to fraction form
    199/296.78 = 185.32/x
  3. Step 3: Cross multiply
    199x = 296.78 × 185.32
  4. Step 4: Simplify right side
    199x = 54,999.27
  5. Step 5: Solve for x
    x = 54,999.27/199
  6. Step 6: Final answer
    x = 276.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.