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Finding the Fourth Proportional to 199.60, 299.38 and 55.34

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Solution

The fourth proportional to 199.60, 299.38 and 55.34 is: 83.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.60 : 299.38 = 55.34 : x
  2. Step 2: Convert to fraction form
    199.60/299.38 = 55.34/x
  3. Step 3: Cross multiply
    199.60x = 299.38 × 55.34
  4. Step 4: Simplify right side
    199.60x = 16,567.69
  5. Step 5: Solve for x
    x = 16,567.69/199.60
  6. Step 6: Final answer
    x = 83.00

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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.