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Finding the Fourth Proportional to 277.98, 417.09 and 156.24

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Solution

The fourth proportional to 277.98, 417.09 and 156.24 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 417.09 = 156.24 : x
  2. Step 2: Convert to fraction form
    277.98/417.09 = 156.24/x
  3. Step 3: Cross multiply
    277.98x = 417.09 × 156.24
  4. Step 4: Simplify right side
    277.98x = 65,166.14
  5. Step 5: Solve for x
    x = 65,166.14/277.98
  6. Step 6: Final answer
    x = 234.43

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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.