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Finding the Fourth Proportional to 277.38, 416.16 and 181.08

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Solution

The fourth proportional to 277.38, 416.16 and 181.08 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 416.16 = 181.08 : x
  2. Step 2: Convert to fraction form
    277.38/416.16 = 181.08/x
  3. Step 3: Cross multiply
    277.38x = 416.16 × 181.08
  4. Step 4: Simplify right side
    277.38x = 75,358.25
  5. Step 5: Solve for x
    x = 75,358.25/277.38
  6. Step 6: Final answer
    x = 271.68

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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.