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Finding the Fourth Proportional to 301.68, 453.14 and 186.18

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Solution

The fourth proportional to 301.68, 453.14 and 186.18 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 453.14 = 186.18 : x
  2. Step 2: Convert to fraction form
    301.68/453.14 = 186.18/x
  3. Step 3: Cross multiply
    301.68x = 453.14 × 186.18
  4. Step 4: Simplify right side
    301.68x = 84,365.61
  5. Step 5: Solve for x
    x = 84,365.61/301.68
  6. Step 6: Final answer
    x = 279.65

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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.