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Finding the Fourth Proportional to 181.66, 250.58 and 116.05

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Solution

The fourth proportional to 181.66, 250.58 and 116.05 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.66 : 250.58 = 116.05 : x
  2. Step 2: Convert to fraction form
    181.66/250.58 = 116.05/x
  3. Step 3: Cross multiply
    181.66x = 250.58 × 116.05
  4. Step 4: Simplify right side
    181.66x = 29,079.81
  5. Step 5: Solve for x
    x = 29,079.81/181.66
  6. Step 6: Final answer
    x = 160.08

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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.