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Finding the Fourth Proportional to 301.94, 452.78 and 96.45

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Solution

The fourth proportional to 301.94, 452.78 and 96.45 is: 144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.94 : 452.78 = 96.45 : x
  2. Step 2: Convert to fraction form
    301.94/452.78 = 96.45/x
  3. Step 3: Cross multiply
    301.94x = 452.78 × 96.45
  4. Step 4: Simplify right side
    301.94x = 43,670.63
  5. Step 5: Solve for x
    x = 43,670.63/301.94
  6. Step 6: Final answer
    x = 144.63

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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.