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Finding the Fourth Proportional to 307.18, 424.20 and 214.03

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Solution

The fourth proportional to 307.18, 424.20 and 214.03 is: 295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.18 : 424.20 = 214.03 : x
  2. Step 2: Convert to fraction form
    307.18/424.20 = 214.03/x
  3. Step 3: Cross multiply
    307.18x = 424.20 × 214.03
  4. Step 4: Simplify right side
    307.18x = 90,791.53
  5. Step 5: Solve for x
    x = 90,791.53/307.18
  6. Step 6: Final answer
    x = 295.56

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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.