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Finding the Fourth Proportional to 301.58, 452.07 and 186.05

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Solution

The fourth proportional to 301.58, 452.07 and 186.05 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.58 : 452.07 = 186.05 : x
  2. Step 2: Convert to fraction form
    301.58/452.07 = 186.05/x
  3. Step 3: Cross multiply
    301.58x = 452.07 × 186.05
  4. Step 4: Simplify right side
    301.58x = 84,107.62
  5. Step 5: Solve for x
    x = 84,107.62/301.58
  6. Step 6: Final answer
    x = 278.89

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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.