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Finding the Fourth Proportional to 199.77, 299.70 and 97.02

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Solution

The fourth proportional to 199.77, 299.70 and 97.02 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.77 : 299.70 = 97.02 : x
  2. Step 2: Convert to fraction form
    199.77/299.70 = 97.02/x
  3. Step 3: Cross multiply
    199.77x = 299.70 × 97.02
  4. Step 4: Simplify right side
    199.77x = 29,076.89
  5. Step 5: Solve for x
    x = 29,076.89/199.77
  6. Step 6: Final answer
    x = 145.55

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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.