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Finding the Fourth Proportional to 277.47, 415.80 and 155.97

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Solution

The fourth proportional to 277.47, 415.80 and 155.97 is: 233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.47 : 415.80 = 155.97 : x
  2. Step 2: Convert to fraction form
    277.47/415.80 = 155.97/x
  3. Step 3: Cross multiply
    277.47x = 415.80 × 155.97
  4. Step 4: Simplify right side
    277.47x = 64,852.33
  5. Step 5: Solve for x
    x = 64,852.33/277.47
  6. Step 6: Final answer
    x = 233.73

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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.