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Finding the Fourth Proportional to 230.17, 346.99 and 214.51

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Solution

The fourth proportional to 230.17, 346.99 and 214.51 is: 323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.17 : 346.99 = 214.51 : x
  2. Step 2: Convert to fraction form
    230.17/346.99 = 214.51/x
  3. Step 3: Cross multiply
    230.17x = 346.99 × 214.51
  4. Step 4: Simplify right side
    230.17x = 74,432.82
  5. Step 5: Solve for x
    x = 74,432.82/230.17
  6. Step 6: Final answer
    x = 323.38

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Why These Related Problems?

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