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Finding the Fourth Proportional to 181.63, 250.65 and 102.95

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Solution

The fourth proportional to 181.63, 250.65 and 102.95 is: 142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.63 : 250.65 = 102.95 : x
  2. Step 2: Convert to fraction form
    181.63/250.65 = 102.95/x
  3. Step 3: Cross multiply
    181.63x = 250.65 × 102.95
  4. Step 4: Simplify right side
    181.63x = 25,804.42
  5. Step 5: Solve for x
    x = 25,804.42/181.63
  6. Step 6: Final answer
    x = 142.07

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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.