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Finding the Fourth Proportional to 310.12, 427.80 and 210.54

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Solution

The fourth proportional to 310.12, 427.80 and 210.54 is: 290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.12 : 427.80 = 210.54 : x
  2. Step 2: Convert to fraction form
    310.12/427.80 = 210.54/x
  3. Step 3: Cross multiply
    310.12x = 427.80 × 210.54
  4. Step 4: Simplify right side
    310.12x = 90,069.01
  5. Step 5: Solve for x
    x = 90,069.01/310.12
  6. Step 6: Final answer
    x = 290.43

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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.