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Finding the Fourth Proportional to 301.92, 452.25 and 157.38

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Solution

The fourth proportional to 301.92, 452.25 and 157.38 is: 235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 452.25 = 157.38 : x
  2. Step 2: Convert to fraction form
    301.92/452.25 = 157.38/x
  3. Step 3: Cross multiply
    301.92x = 452.25 × 157.38
  4. Step 4: Simplify right side
    301.92x = 71,175.11
  5. Step 5: Solve for x
    x = 71,175.11/301.92
  6. Step 6: Final answer
    x = 235.74

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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.