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Finding the Fourth Proportional to 241.85, 362.81 and 87.77

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Solution

The fourth proportional to 241.85, 362.81 and 87.77 is: 131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.85 : 362.81 = 87.77 : x
  2. Step 2: Convert to fraction form
    241.85/362.81 = 87.77/x
  3. Step 3: Cross multiply
    241.85x = 362.81 × 87.77
  4. Step 4: Simplify right side
    241.85x = 31,843.83
  5. Step 5: Solve for x
    x = 31,843.83/241.85
  6. Step 6: Final answer
    x = 131.67

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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.