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Finding the Fourth Proportional to 301.96, 452.83 and 210.70

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Solution

The fourth proportional to 301.96, 452.83 and 210.70 is: 315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.96 : 452.83 = 210.70 : x
  2. Step 2: Convert to fraction form
    301.96/452.83 = 210.70/x
  3. Step 3: Cross multiply
    301.96x = 452.83 × 210.70
  4. Step 4: Simplify right side
    301.96x = 95,409.02
  5. Step 5: Solve for x
    x = 95,409.02/301.96
  6. Step 6: Final answer
    x = 315.97

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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.