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Finding the Fourth Proportional to 181.18, 250.03 and 106.46

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Solution

The fourth proportional to 181.18, 250.03 and 106.46 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.18 : 250.03 = 106.46 : x
  2. Step 2: Convert to fraction form
    181.18/250.03 = 106.46/x
  3. Step 3: Cross multiply
    181.18x = 250.03 × 106.46
  4. Step 4: Simplify right side
    181.18x = 26,618.19
  5. Step 5: Solve for x
    x = 26,618.19/181.18
  6. Step 6: Final answer
    x = 146.92

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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.