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Finding the Fourth Proportional to 303.24, 455.28 and 157.09

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Solution

The fourth proportional to 303.24, 455.28 and 157.09 is: 235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 455.28 = 157.09 : x
  2. Step 2: Convert to fraction form
    303.24/455.28 = 157.09/x
  3. Step 3: Cross multiply
    303.24x = 455.28 × 157.09
  4. Step 4: Simplify right side
    303.24x = 71,519.77
  5. Step 5: Solve for x
    x = 71,519.77/303.24
  6. Step 6: Final answer
    x = 235.85

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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.