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Finding the Fourth Proportional to 293.23, 439.89 and 87.77

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Solution

The fourth proportional to 293.23, 439.89 and 87.77 is: 131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.23 : 439.89 = 87.77 : x
  2. Step 2: Convert to fraction form
    293.23/439.89 = 87.77/x
  3. Step 3: Cross multiply
    293.23x = 439.89 × 87.77
  4. Step 4: Simplify right side
    293.23x = 38,609.15
  5. Step 5: Solve for x
    x = 38,609.15/293.23
  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.