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Finding the Fourth Proportional to 301.96, 416.85 and 202.57

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Solution

The fourth proportional to 301.96, 416.85 and 202.57 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 416.85 = 202.57 : x
  2. Step 2: Convert to fraction form
    301.96/416.85 = 202.57/x
  3. Step 3: Cross multiply
    301.96x = 416.85 × 202.57
  4. Step 4: Simplify right side
    301.96x = 84,439.50
  5. Step 5: Solve for x
    x = 84,439.50/301.96
  6. Step 6: Final answer
    x = 279.64

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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.