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Finding the Fourth Proportional to 301.44, 452.28 and 145.32

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Solution

The fourth proportional to 301.44, 452.28 and 145.32 is: 218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.44 : 452.28 = 145.32 : x
  2. Step 2: Convert to fraction form
    301.44/452.28 = 145.32/x
  3. Step 3: Cross multiply
    301.44x = 452.28 × 145.32
  4. Step 4: Simplify right side
    301.44x = 65,725.33
  5. Step 5: Solve for x
    x = 65,725.33/301.44
  6. Step 6: Final answer
    x = 218.04

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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.