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Finding the Fourth Proportional to 185.69, 256.16 and 115.67

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Solution

The fourth proportional to 185.69, 256.16 and 115.67 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.69 : 256.16 = 115.67 : x
  2. Step 2: Convert to fraction form
    185.69/256.16 = 115.67/x
  3. Step 3: Cross multiply
    185.69x = 256.16 × 115.67
  4. Step 4: Simplify right side
    185.69x = 29,630.96
  5. Step 5: Solve for x
    x = 29,630.96/185.69
  6. Step 6: Final answer
    x = 159.57

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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.