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Finding the Fourth Proportional to 357.34, 535.81 and 113.82

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Solution

The fourth proportional to 357.34, 535.81 and 113.82 is: 170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.34 : 535.81 = 113.82 : x
  2. Step 2: Convert to fraction form
    357.34/535.81 = 113.82/x
  3. Step 3: Cross multiply
    357.34x = 535.81 × 113.82
  4. Step 4: Simplify right side
    357.34x = 60,985.89
  5. Step 5: Solve for x
    x = 60,985.89/357.34
  6. Step 6: Final answer
    x = 170.67

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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.