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Finding the Fourth Proportional to 181.23, 271.86 and 78.45

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Solution

The fourth proportional to 181.23, 271.86 and 78.45 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.23 : 271.86 = 78.45 : x
  2. Step 2: Convert to fraction form
    181.23/271.86 = 78.45/x
  3. Step 3: Cross multiply
    181.23x = 271.86 × 78.45
  4. Step 4: Simplify right side
    181.23x = 21,326.10
  5. Step 5: Solve for x
    x = 21,326.10/181.23
  6. Step 6: Final answer
    x = 117.67

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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.