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Finding the Fourth Proportional to 230.42, 347.40 and 214.76

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Solution

The fourth proportional to 230.42, 347.40 and 214.76 is: 323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.42 : 347.40 = 214.76 : x
  2. Step 2: Convert to fraction form
    230.42/347.40 = 214.76/x
  3. Step 3: Cross multiply
    230.42x = 347.40 × 214.76
  4. Step 4: Simplify right side
    230.42x = 74,607.62
  5. Step 5: Solve for x
    x = 74,607.62/230.42
  6. Step 6: Final answer
    x = 323.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.