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Finding the Fourth Proportional to 305.18, 421.28 and 207.22

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Solution

The fourth proportional to 305.18, 421.28 and 207.22 is: 286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.18 : 421.28 = 207.22 : x
  2. Step 2: Convert to fraction form
    305.18/421.28 = 207.22/x
  3. Step 3: Cross multiply
    305.18x = 421.28 × 207.22
  4. Step 4: Simplify right side
    305.18x = 87,297.64
  5. Step 5: Solve for x
    x = 87,297.64/305.18
  6. Step 6: Final answer
    x = 286.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.