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Finding the Fourth Proportional to 203.68, 305.70 and 186.40

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Solution

The fourth proportional to 203.68, 305.70 and 186.40 is: 279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 305.70 = 186.40 : x
  2. Step 2: Convert to fraction form
    203.68/305.70 = 186.40/x
  3. Step 3: Cross multiply
    203.68x = 305.70 × 186.40
  4. Step 4: Simplify right side
    203.68x = 56,982.48
  5. Step 5: Solve for x
    x = 56,982.48/203.68
  6. Step 6: Final answer
    x = 279.76

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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.