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Finding the Fourth Proportional to 300.52, 450.61 and 95.05

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Solution

The fourth proportional to 300.52, 450.61 and 95.05 is: 142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.52 : 450.61 = 95.05 : x
  2. Step 2: Convert to fraction form
    300.52/450.61 = 95.05/x
  3. Step 3: Cross multiply
    300.52x = 450.61 × 95.05
  4. Step 4: Simplify right side
    300.52x = 42,830.81
  5. Step 5: Solve for x
    x = 42,830.81/300.52
  6. Step 6: Final answer
    x = 142.52

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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.