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Finding the Fourth Proportional to 202.14, 278.64 and 160.83

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Solution

The fourth proportional to 202.14, 278.64 and 160.83 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.14 : 278.64 = 160.83 : x
  2. Step 2: Convert to fraction form
    202.14/278.64 = 160.83/x
  3. Step 3: Cross multiply
    202.14x = 278.64 × 160.83
  4. Step 4: Simplify right side
    202.14x = 44,813.67
  5. Step 5: Solve for x
    x = 44,813.67/202.14
  6. Step 6: Final answer
    x = 221.70

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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.