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Finding the Fourth Proportional to 202.77, 304.16 and 80.93

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Solution

The fourth proportional to 202.77, 304.16 and 80.93 is: 121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.77 : 304.16 = 80.93 : x
  2. Step 2: Convert to fraction form
    202.77/304.16 = 80.93/x
  3. Step 3: Cross multiply
    202.77x = 304.16 × 80.93
  4. Step 4: Simplify right side
    202.77x = 24,616.02
  5. Step 5: Solve for x
    x = 24,616.02/202.77
  6. Step 6: Final answer
    x = 121.40

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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.