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Finding the Fourth Proportional to 212.93, 293.89 and 135.25

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Solution

The fourth proportional to 212.93, 293.89 and 135.25 is: 186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.93 : 293.89 = 135.25 : x
  2. Step 2: Convert to fraction form
    212.93/293.89 = 135.25/x
  3. Step 3: Cross multiply
    212.93x = 293.89 × 135.25
  4. Step 4: Simplify right side
    212.93x = 39,748.62
  5. Step 5: Solve for x
    x = 39,748.62/212.93
  6. Step 6: Final answer
    x = 186.67

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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.