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Finding the Fourth Proportional to 301.98, 453.15 and 157.71

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Solution

The fourth proportional to 301.98, 453.15 and 157.71 is: 236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.98 : 453.15 = 157.71 : x
  2. Step 2: Convert to fraction form
    301.98/453.15 = 157.71/x
  3. Step 3: Cross multiply
    301.98x = 453.15 × 157.71
  4. Step 4: Simplify right side
    301.98x = 71,466.29
  5. Step 5: Solve for x
    x = 71,466.29/301.98
  6. Step 6: Final answer
    x = 236.66

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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.