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Finding the Fourth Proportional to 181.87, 250.55 and 148.93

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Solution

The fourth proportional to 181.87, 250.55 and 148.93 is: 205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.87 : 250.55 = 148.93 : x
  2. Step 2: Convert to fraction form
    181.87/250.55 = 148.93/x
  3. Step 3: Cross multiply
    181.87x = 250.55 × 148.93
  4. Step 4: Simplify right side
    181.87x = 37,314.41
  5. Step 5: Solve for x
    x = 37,314.41/181.87
  6. Step 6: Final answer
    x = 205.17

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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.