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Finding the Fourth Proportional to 305.87, 422.01 and 187.88

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Solution

The fourth proportional to 305.87, 422.01 and 187.88 is: 259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.87 : 422.01 = 187.88 : x
  2. Step 2: Convert to fraction form
    305.87/422.01 = 187.88/x
  3. Step 3: Cross multiply
    305.87x = 422.01 × 187.88
  4. Step 4: Simplify right side
    305.87x = 79,285.13
  5. Step 5: Solve for x
    x = 79,285.13/305.87
  6. Step 6: Final answer
    x = 259.22

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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.