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Finding the Fourth Proportional to 305.81, 421.54 and 207.39

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Solution

The fourth proportional to 305.81, 421.54 and 207.39 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.81 : 421.54 = 207.39 : x
  2. Step 2: Convert to fraction form
    305.81/421.54 = 207.39/x
  3. Step 3: Cross multiply
    305.81x = 421.54 × 207.39
  4. Step 4: Simplify right side
    305.81x = 87,424.24
  5. Step 5: Solve for x
    x = 87,424.24/305.81
  6. Step 6: Final answer
    x = 285.88

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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.