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Finding the Fourth Proportional to 212.04, 317.98 and 83.76

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Solution

The fourth proportional to 212.04, 317.98 and 83.76 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.04 : 317.98 = 83.76 : x
  2. Step 2: Convert to fraction form
    212.04/317.98 = 83.76/x
  3. Step 3: Cross multiply
    212.04x = 317.98 × 83.76
  4. Step 4: Simplify right side
    212.04x = 26,634.00
  5. Step 5: Solve for x
    x = 26,634.00/212.04
  6. Step 6: Final answer
    x = 125.61

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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.