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Finding the Fourth Proportional to 301.86, 452.82 and 96.46

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Solution

The fourth proportional to 301.86, 452.82 and 96.46 is: 144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 452.82 = 96.46 : x
  2. Step 2: Convert to fraction form
    301.86/452.82 = 96.46/x
  3. Step 3: Cross multiply
    301.86x = 452.82 × 96.46
  4. Step 4: Simplify right side
    301.86x = 43,678.25
  5. Step 5: Solve for x
    x = 43,678.25/301.86
  6. Step 6: Final answer
    x = 144.70

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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.