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Finding the Fourth Proportional to 277.34, 415.89 and 114.91

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Solution

The fourth proportional to 277.34, 415.89 and 114.91 is: 172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.34 : 415.89 = 114.91 : x
  2. Step 2: Convert to fraction form
    277.34/415.89 = 114.91/x
  3. Step 3: Cross multiply
    277.34x = 415.89 × 114.91
  4. Step 4: Simplify right side
    277.34x = 47,789.92
  5. Step 5: Solve for x
    x = 47,789.92/277.34
  6. Step 6: Final answer
    x = 172.32

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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.