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Finding the Fourth Proportional to 214.46, 295.77 and 173.06

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Solution

The fourth proportional to 214.46, 295.77 and 173.06 is: 238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.46 : 295.77 = 173.06 : x
  2. Step 2: Convert to fraction form
    214.46/295.77 = 173.06/x
  3. Step 3: Cross multiply
    214.46x = 295.77 × 173.06
  4. Step 4: Simplify right side
    214.46x = 51,185.96
  5. Step 5: Solve for x
    x = 51,185.96/214.46
  6. Step 6: Final answer
    x = 238.67

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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.