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Finding the Fourth Proportional to 183.41, 275.15 and 61.67

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Solution

The fourth proportional to 183.41, 275.15 and 61.67 is: 92.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.41 : 275.15 = 61.67 : x
  2. Step 2: Convert to fraction form
    183.41/275.15 = 61.67/x
  3. Step 3: Cross multiply
    183.41x = 275.15 × 61.67
  4. Step 4: Simplify right side
    183.41x = 16,968.50
  5. Step 5: Solve for x
    x = 16,968.50/183.41
  6. Step 6: Final answer
    x = 92.52

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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.