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Finding the Fourth Proportional to 296.58, 445.05 and 113.99

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Solution

The fourth proportional to 296.58, 445.05 and 113.99 is: 171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.58 : 445.05 = 113.99 : x
  2. Step 2: Convert to fraction form
    296.58/445.05 = 113.99/x
  3. Step 3: Cross multiply
    296.58x = 445.05 × 113.99
  4. Step 4: Simplify right side
    296.58x = 50,731.25
  5. Step 5: Solve for x
    x = 50,731.25/296.58
  6. Step 6: Final answer
    x = 171.05

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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.