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Finding the Fourth Proportional to 303.42, 455.14 and 120.82

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Solution

The fourth proportional to 303.42, 455.14 and 120.82 is: 181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.42 : 455.14 = 120.82 : x
  2. Step 2: Convert to fraction form
    303.42/455.14 = 120.82/x
  3. Step 3: Cross multiply
    303.42x = 455.14 × 120.82
  4. Step 4: Simplify right side
    303.42x = 54,989.20
  5. Step 5: Solve for x
    x = 54,989.20/303.42
  6. Step 6: Final answer
    x = 181.23

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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.