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Finding the Fourth Proportional to 215.97, 324.56 and 210.50

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Solution

The fourth proportional to 215.97, 324.56 and 210.50 is: 316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.97 : 324.56 = 210.50 : x
  2. Step 2: Convert to fraction form
    215.97/324.56 = 210.50/x
  3. Step 3: Cross multiply
    215.97x = 324.56 × 210.50
  4. Step 4: Simplify right side
    215.97x = 68,319.88
  5. Step 5: Solve for x
    x = 68,319.88/215.97
  6. Step 6: Final answer
    x = 316.34

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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.