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Finding the Fourth Proportional to 305.01, 420.66 and 205.47

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Solution

The fourth proportional to 305.01, 420.66 and 205.47 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.01 : 420.66 = 205.47 : x
  2. Step 2: Convert to fraction form
    305.01/420.66 = 205.47/x
  3. Step 3: Cross multiply
    305.01x = 420.66 × 205.47
  4. Step 4: Simplify right side
    305.01x = 86,433.01
  5. Step 5: Solve for x
    x = 86,433.01/305.01
  6. Step 6: Final answer
    x = 283.38

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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.