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Finding the Fourth Proportional to 301.34, 452.07 and 95.91

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Solution

The fourth proportional to 301.34, 452.07 and 95.91 is: 143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.34 : 452.07 = 95.91 : x
  2. Step 2: Convert to fraction form
    301.34/452.07 = 95.91/x
  3. Step 3: Cross multiply
    301.34x = 452.07 × 95.91
  4. Step 4: Simplify right side
    301.34x = 43,358.03
  5. Step 5: Solve for x
    x = 43,358.03/301.34
  6. Step 6: Final answer
    x = 143.89

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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.