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Finding the Fourth Proportional to 181.83, 272.35 and 171.06

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Solution

The fourth proportional to 181.83, 272.35 and 171.06 is: 256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.83 : 272.35 = 171.06 : x
  2. Step 2: Convert to fraction form
    181.83/272.35 = 171.06/x
  3. Step 3: Cross multiply
    181.83x = 272.35 × 171.06
  4. Step 4: Simplify right side
    181.83x = 46,588.19
  5. Step 5: Solve for x
    x = 46,588.19/181.83
  6. Step 6: Final answer
    x = 256.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.