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Finding the Fourth Proportional to 277.97, 417.01 and 104.64

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Solution

The fourth proportional to 277.97, 417.01 and 104.64 is: 156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 417.01 = 104.64 : x
  2. Step 2: Convert to fraction form
    277.97/417.01 = 104.64/x
  3. Step 3: Cross multiply
    277.97x = 417.01 × 104.64
  4. Step 4: Simplify right side
    277.97x = 43,635.93
  5. Step 5: Solve for x
    x = 43,635.93/277.97
  6. Step 6: Final answer
    x = 156.98

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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.