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Finding the Fourth Proportional to 202.43, 278.84 and 188.99

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Solution

The fourth proportional to 202.43, 278.84 and 188.99 is: 260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.43 : 278.84 = 188.99 : x
  2. Step 2: Convert to fraction form
    202.43/278.84 = 188.99/x
  3. Step 3: Cross multiply
    202.43x = 278.84 × 188.99
  4. Step 4: Simplify right side
    202.43x = 52,697.03
  5. Step 5: Solve for x
    x = 52,697.03/202.43
  6. Step 6: Final answer
    x = 260.32

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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.