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Finding the Fourth Proportional to 181.25, 250.07 and 106.55

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Solution

The fourth proportional to 181.25, 250.07 and 106.55 is: 147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.25 : 250.07 = 106.55 : x
  2. Step 2: Convert to fraction form
    181.25/250.07 = 106.55/x
  3. Step 3: Cross multiply
    181.25x = 250.07 × 106.55
  4. Step 4: Simplify right side
    181.25x = 26,643.18
  5. Step 5: Solve for x
    x = 26,643.18/181.25
  6. Step 6: Final answer
    x = 147.00

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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.