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Finding the Fourth Proportional to 301.75, 452.51 and 106.69

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Solution

The fourth proportional to 301.75, 452.51 and 106.69 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.75 : 452.51 = 106.69 : x
  2. Step 2: Convert to fraction form
    301.75/452.51 = 106.69/x
  3. Step 3: Cross multiply
    301.75x = 452.51 × 106.69
  4. Step 4: Simplify right side
    301.75x = 48,279.45
  5. Step 5: Solve for x
    x = 48,279.45/301.75
  6. Step 6: Final answer
    x = 160.00

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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.