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Finding the Fourth Proportional to 312.94, 431.75 and 214.53

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Solution

The fourth proportional to 312.94, 431.75 and 214.53 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 431.75 = 214.53 : x
  2. Step 2: Convert to fraction form
    312.94/431.75 = 214.53/x
  3. Step 3: Cross multiply
    312.94x = 431.75 × 214.53
  4. Step 4: Simplify right side
    312.94x = 92,623.33
  5. Step 5: Solve for x
    x = 92,623.33/312.94
  6. Step 6: Final answer
    x = 295.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.