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Finding the Fourth Proportional to 301.68, 452.57 and 96.20

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Solution

The fourth proportional to 301.68, 452.57 and 96.20 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 452.57 = 96.20 : x
  2. Step 2: Convert to fraction form
    301.68/452.57 = 96.20/x
  3. Step 3: Cross multiply
    301.68x = 452.57 × 96.20
  4. Step 4: Simplify right side
    301.68x = 43,537.23
  5. Step 5: Solve for x
    x = 43,537.23/301.68
  6. Step 6: Final answer
    x = 144.32

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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.