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Finding the Fourth Proportional to 303.12, 454.90 and 120.53

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Solution

The fourth proportional to 303.12, 454.90 and 120.53 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.12 : 454.90 = 120.53 : x
  2. Step 2: Convert to fraction form
    303.12/454.90 = 120.53/x
  3. Step 3: Cross multiply
    303.12x = 454.90 × 120.53
  4. Step 4: Simplify right side
    303.12x = 54,826.97
  5. Step 5: Solve for x
    x = 54,826.97/303.12
  6. Step 6: Final answer
    x = 180.88

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Why These Related Problems?

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