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Finding the Fourth Proportional to 251.47, 346.29 and 214.61

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Solution

The fourth proportional to 251.47, 346.29 and 214.61 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.47 : 346.29 = 214.61 : x
  2. Step 2: Convert to fraction form
    251.47/346.29 = 214.61/x
  3. Step 3: Cross multiply
    251.47x = 346.29 × 214.61
  4. Step 4: Simplify right side
    251.47x = 74,317.30
  5. Step 5: Solve for x
    x = 74,317.30/251.47
  6. Step 6: Final answer
    x = 295.54

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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.