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Finding the Fourth Proportional to 310.04, 427.77 and 211.82

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Solution

The fourth proportional to 310.04, 427.77 and 211.82 is: 292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.04 : 427.77 = 211.82 : x
  2. Step 2: Convert to fraction form
    310.04/427.77 = 211.82/x
  3. Step 3: Cross multiply
    310.04x = 427.77 × 211.82
  4. Step 4: Simplify right side
    310.04x = 90,611.31
  5. Step 5: Solve for x
    x = 90,611.31/310.04
  6. Step 6: Final answer
    x = 292.26

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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.