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Finding the Fourth Proportional to 301.14, 451.98 and 193.05

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Solution

The fourth proportional to 301.14, 451.98 and 193.05 is: 289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 451.98 = 193.05 : x
  2. Step 2: Convert to fraction form
    301.14/451.98 = 193.05/x
  3. Step 3: Cross multiply
    301.14x = 451.98 × 193.05
  4. Step 4: Simplify right side
    301.14x = 87,254.74
  5. Step 5: Solve for x
    x = 87,254.74/301.14
  6. Step 6: Final answer
    x = 289.75

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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.