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Finding the Fourth Proportional to 277.58, 415.32 and 171.66

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Solution

The fourth proportional to 277.58, 415.32 and 171.66 is: 256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.58 : 415.32 = 171.66 : x
  2. Step 2: Convert to fraction form
    277.58/415.32 = 171.66/x
  3. Step 3: Cross multiply
    277.58x = 415.32 × 171.66
  4. Step 4: Simplify right side
    277.58x = 71,293.83
  5. Step 5: Solve for x
    x = 71,293.83/277.58
  6. Step 6: Final answer
    x = 256.85

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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.