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Finding the Fourth Proportional to 199.49, 299.51 and 131.45

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Solution

The fourth proportional to 199.49, 299.51 and 131.45 is: 197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.49 : 299.51 = 131.45 : x
  2. Step 2: Convert to fraction form
    199.49/299.51 = 131.45/x
  3. Step 3: Cross multiply
    199.49x = 299.51 × 131.45
  4. Step 4: Simplify right side
    199.49x = 39,368.43
  5. Step 5: Solve for x
    x = 39,368.43/199.49
  6. Step 6: Final answer
    x = 197.35

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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.