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Finding the Fourth Proportional to 307.15, 423.82 and 182.81

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Solution

The fourth proportional to 307.15, 423.82 and 182.81 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.15 : 423.82 = 182.81 : x
  2. Step 2: Convert to fraction form
    307.15/423.82 = 182.81/x
  3. Step 3: Cross multiply
    307.15x = 423.82 × 182.81
  4. Step 4: Simplify right side
    307.15x = 77,478.53
  5. Step 5: Solve for x
    x = 77,478.53/307.15
  6. Step 6: Final answer
    x = 252.25

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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.