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Finding the Fourth Proportional to 202.60, 303.66 and 195.40

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Solution

The fourth proportional to 202.60, 303.66 and 195.40 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.60 : 303.66 = 195.40 : x
  2. Step 2: Convert to fraction form
    202.60/303.66 = 195.40/x
  3. Step 3: Cross multiply
    202.60x = 303.66 × 195.40
  4. Step 4: Simplify right side
    202.60x = 59,335.16
  5. Step 5: Solve for x
    x = 59,335.16/202.60
  6. Step 6: Final answer
    x = 292.87

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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.