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Finding the Fourth Proportional to 210.84, 316.14 and 82.56

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Solution

The fourth proportional to 210.84, 316.14 and 82.56 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 316.14 = 82.56 : x
  2. Step 2: Convert to fraction form
    210.84/316.14 = 82.56/x
  3. Step 3: Cross multiply
    210.84x = 316.14 × 82.56
  4. Step 4: Simplify right side
    210.84x = 26,100.52
  5. Step 5: Solve for x
    x = 26,100.52/210.84
  6. Step 6: Final answer
    x = 123.79

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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.