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Finding the Fourth Proportional to 207.48, 308.48 and 205.43

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Solution

The fourth proportional to 207.48, 308.48 and 205.43 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.48 : 308.48 = 205.43 : x
  2. Step 2: Convert to fraction form
    207.48/308.48 = 205.43/x
  3. Step 3: Cross multiply
    207.48x = 308.48 × 205.43
  4. Step 4: Simplify right side
    207.48x = 63,368.48
  5. Step 5: Solve for x
    x = 63,368.48/207.48
  6. Step 6: Final answer
    x = 305.42

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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.