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Finding the Fourth Proportional to 277.86, 417.11 and 156.27

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Solution

The fourth proportional to 277.86, 417.11 and 156.27 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.86 : 417.11 = 156.27 : x
  2. Step 2: Convert to fraction form
    277.86/417.11 = 156.27/x
  3. Step 3: Cross multiply
    277.86x = 417.11 × 156.27
  4. Step 4: Simplify right side
    277.86x = 65,181.00
  5. Step 5: Solve for x
    x = 65,181.00/277.86
  6. Step 6: Final answer
    x = 234.58

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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.