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Finding the Fourth Proportional to 214.85, 322.06 and 77.83

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Solution

The fourth proportional to 214.85, 322.06 and 77.83 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.85 : 322.06 = 77.83 : x
  2. Step 2: Convert to fraction form
    214.85/322.06 = 77.83/x
  3. Step 3: Cross multiply
    214.85x = 322.06 × 77.83
  4. Step 4: Simplify right side
    214.85x = 25,065.93
  5. Step 5: Solve for x
    x = 25,065.93/214.85
  6. Step 6: Final answer
    x = 116.67

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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.