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Finding the Fourth Proportional to 199.51, 299.02 and 175.51

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Solution

The fourth proportional to 199.51, 299.02 and 175.51 is: 263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.51 : 299.02 = 175.51 : x
  2. Step 2: Convert to fraction form
    199.51/299.02 = 175.51/x
  3. Step 3: Cross multiply
    199.51x = 299.02 × 175.51
  4. Step 4: Simplify right side
    199.51x = 52,481.00
  5. Step 5: Solve for x
    x = 52,481.00/199.51
  6. Step 6: Final answer
    x = 263.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.