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Finding the Fourth Proportional to 181.80, 271.38 and 159.91

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Solution

The fourth proportional to 181.80, 271.38 and 159.91 is: 238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 271.38 = 159.91 : x
  2. Step 2: Convert to fraction form
    181.80/271.38 = 159.91/x
  3. Step 3: Cross multiply
    181.80x = 271.38 × 159.91
  4. Step 4: Simplify right side
    181.80x = 43,395.02
  5. Step 5: Solve for x
    x = 43,395.02/181.80
  6. Step 6: Final answer
    x = 238.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.