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Finding the Fourth Proportional to 305.82, 422.10 and 207.54

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Solution

The fourth proportional to 305.82, 422.10 and 207.54 is: 286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.82 : 422.10 = 207.54 : x
  2. Step 2: Convert to fraction form
    305.82/422.10 = 207.54/x
  3. Step 3: Cross multiply
    305.82x = 422.10 × 207.54
  4. Step 4: Simplify right side
    305.82x = 87,602.63
  5. Step 5: Solve for x
    x = 87,602.63/305.82
  6. Step 6: Final answer
    x = 286.45

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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.