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Finding the Fourth Proportional to 305.66, 422.16 and 207.25

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Solution

The fourth proportional to 305.66, 422.16 and 207.25 is: 286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.66 : 422.16 = 207.25 : x
  2. Step 2: Convert to fraction form
    305.66/422.16 = 207.25/x
  3. Step 3: Cross multiply
    305.66x = 422.16 × 207.25
  4. Step 4: Simplify right side
    305.66x = 87,491.60
  5. Step 5: Solve for x
    x = 87,491.60/305.66
  6. Step 6: Final answer
    x = 286.24

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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.