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Finding the Fourth Proportional to 202.68, 302.79 and 195.87

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Solution

The fourth proportional to 202.68, 302.79 and 195.87 is: 292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.68 : 302.79 = 195.87 : x
  2. Step 2: Convert to fraction form
    202.68/302.79 = 195.87/x
  3. Step 3: Cross multiply
    202.68x = 302.79 × 195.87
  4. Step 4: Simplify right side
    202.68x = 59,307.48
  5. Step 5: Solve for x
    x = 59,307.48/202.68
  6. Step 6: Final answer
    x = 292.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.