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Finding the Fourth Proportional to 301.82, 452.78 and 109.43

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Solution

The fourth proportional to 301.82, 452.78 and 109.43 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.82 : 452.78 = 109.43 : x
  2. Step 2: Convert to fraction form
    301.82/452.78 = 109.43/x
  3. Step 3: Cross multiply
    301.82x = 452.78 × 109.43
  4. Step 4: Simplify right side
    301.82x = 49,547.72
  5. Step 5: Solve for x
    x = 49,547.72/301.82
  6. Step 6: Final answer
    x = 164.16

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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.