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Finding the Fourth Proportional to 230.45, 345.47 and 84.17

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Solution

The fourth proportional to 230.45, 345.47 and 84.17 is: 126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.45 : 345.47 = 84.17 : x
  2. Step 2: Convert to fraction form
    230.45/345.47 = 84.17/x
  3. Step 3: Cross multiply
    230.45x = 345.47 × 84.17
  4. Step 4: Simplify right side
    230.45x = 29,077.14
  5. Step 5: Solve for x
    x = 29,077.14/230.45
  6. Step 6: Final answer
    x = 126.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.