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Finding the Fourth Proportional to 301.50, 452.24 and 96.08

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Solution

The fourth proportional to 301.50, 452.24 and 96.08 is: 144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 452.24 = 96.08 : x
  2. Step 2: Convert to fraction form
    301.50/452.24 = 96.08/x
  3. Step 3: Cross multiply
    301.50x = 452.24 × 96.08
  4. Step 4: Simplify right side
    301.50x = 43,451.22
  5. Step 5: Solve for x
    x = 43,451.22/301.50
  6. Step 6: Final answer
    x = 144.12

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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.