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Finding the Fourth Proportional to 199.83, 298.01 and 190.52

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Solution

The fourth proportional to 199.83, 298.01 and 190.52 is: 284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.83 : 298.01 = 190.52 : x
  2. Step 2: Convert to fraction form
    199.83/298.01 = 190.52/x
  3. Step 3: Cross multiply
    199.83x = 298.01 × 190.52
  4. Step 4: Simplify right side
    199.83x = 56,774.42
  5. Step 5: Solve for x
    x = 56,774.42/199.83
  6. Step 6: Final answer
    x = 284.11

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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.