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Finding the Fourth Proportional to 307.45, 424.05 and 190.94

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Solution

The fourth proportional to 307.45, 424.05 and 190.94 is: 263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.45 : 424.05 = 190.94 : x
  2. Step 2: Convert to fraction form
    307.45/424.05 = 190.94/x
  3. Step 3: Cross multiply
    307.45x = 424.05 × 190.94
  4. Step 4: Simplify right side
    307.45x = 80,968.11
  5. Step 5: Solve for x
    x = 80,968.11/307.45
  6. Step 6: Final answer
    x = 263.36

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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.