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Finding the Fourth Proportional to 177.93, 266.67 and 86.67

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Solution

The fourth proportional to 177.93, 266.67 and 86.67 is: 129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.93 : 266.67 = 86.67 : x
  2. Step 2: Convert to fraction form
    177.93/266.67 = 86.67/x
  3. Step 3: Cross multiply
    177.93x = 266.67 × 86.67
  4. Step 4: Simplify right side
    177.93x = 23,112.29
  5. Step 5: Solve for x
    x = 23,112.29/177.93
  6. Step 6: Final answer
    x = 129.90

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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.