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Finding the Fourth Proportional to 181.74, 249.99 and 148.13

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Solution

The fourth proportional to 181.74, 249.99 and 148.13 is: 203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.74 : 249.99 = 148.13 : x
  2. Step 2: Convert to fraction form
    181.74/249.99 = 148.13/x
  3. Step 3: Cross multiply
    181.74x = 249.99 × 148.13
  4. Step 4: Simplify right side
    181.74x = 37,030.15
  5. Step 5: Solve for x
    x = 37,030.15/181.74
  6. Step 6: Final answer
    x = 203.75

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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.