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Finding the Fourth Proportional to 303.10, 454.66 and 120.50

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Solution

The fourth proportional to 303.10, 454.66 and 120.50 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.10 : 454.66 = 120.50 : x
  2. Step 2: Convert to fraction form
    303.10/454.66 = 120.50/x
  3. Step 3: Cross multiply
    303.10x = 454.66 × 120.50
  4. Step 4: Simplify right side
    303.10x = 54,786.53
  5. Step 5: Solve for x
    x = 54,786.53/303.10
  6. Step 6: Final answer
    x = 180.75

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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.