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Finding the Fourth Proportional to 666.14, 999.38 and 203.93

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Solution

The fourth proportional to 666.14, 999.38 and 203.93 is: 305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.14 : 999.38 = 203.93 : x
  2. Step 2: Convert to fraction form
    666.14/999.38 = 203.93/x
  3. Step 3: Cross multiply
    666.14x = 999.38 × 203.93
  4. Step 4: Simplify right side
    666.14x = 203,805.04
  5. Step 5: Solve for x
    x = 203,805.04/666.14
  6. Step 6: Final answer
    x = 305.95

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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.