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Finding the Fourth Proportional to 303.41, 454.87 and 120.75

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Solution

The fourth proportional to 303.41, 454.87 and 120.75 is: 181.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.41 : 454.87 = 120.75 : x
  2. Step 2: Convert to fraction form
    303.41/454.87 = 120.75/x
  3. Step 3: Cross multiply
    303.41x = 454.87 × 120.75
  4. Step 4: Simplify right side
    303.41x = 54,925.55
  5. Step 5: Solve for x
    x = 54,925.55/303.41
  6. Step 6: Final answer
    x = 181.03

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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.