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Finding the Fourth Proportional to 300.05, 414.14 and 175.77

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Solution

The fourth proportional to 300.05, 414.14 and 175.77 is: 242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.05 : 414.14 = 175.77 : x
  2. Step 2: Convert to fraction form
    300.05/414.14 = 175.77/x
  3. Step 3: Cross multiply
    300.05x = 414.14 × 175.77
  4. Step 4: Simplify right side
    300.05x = 72,793.39
  5. Step 5: Solve for x
    x = 72,793.39/300.05
  6. Step 6: Final answer
    x = 242.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.