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Finding the Fourth Proportional to 181.85, 271.27 and 177.06

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Solution

The fourth proportional to 181.85, 271.27 and 177.06 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.85 : 271.27 = 177.06 : x
  2. Step 2: Convert to fraction form
    181.85/271.27 = 177.06/x
  3. Step 3: Cross multiply
    181.85x = 271.27 × 177.06
  4. Step 4: Simplify right side
    181.85x = 48,032.04
  5. Step 5: Solve for x
    x = 48,032.04/181.85
  6. Step 6: Final answer
    x = 264.14

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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.