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Finding the Fourth Proportional to 181.68, 250.16 and 157.12

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Solution

The fourth proportional to 181.68, 250.16 and 157.12 is: 216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.68 : 250.16 = 157.12 : x
  2. Step 2: Convert to fraction form
    181.68/250.16 = 157.12/x
  3. Step 3: Cross multiply
    181.68x = 250.16 × 157.12
  4. Step 4: Simplify right side
    181.68x = 39,305.14
  5. Step 5: Solve for x
    x = 39,305.14/181.68
  6. Step 6: Final answer
    x = 216.34

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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.