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Finding the Fourth Proportional to 301.94, 416.85 and 201.08

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Solution

The fourth proportional to 301.94, 416.85 and 201.08 is: 277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.94 : 416.85 = 201.08 : x
  2. Step 2: Convert to fraction form
    301.94/416.85 = 201.08/x
  3. Step 3: Cross multiply
    301.94x = 416.85 × 201.08
  4. Step 4: Simplify right side
    301.94x = 83,818.11
  5. Step 5: Solve for x
    x = 83,818.11/301.94
  6. Step 6: Final answer
    x = 277.60

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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.