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Finding the Fourth Proportional to 277.35, 416.31 and 189.51

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Solution

The fourth proportional to 277.35, 416.31 and 189.51 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.35 : 416.31 = 189.51 : x
  2. Step 2: Convert to fraction form
    277.35/416.31 = 189.51/x
  3. Step 3: Cross multiply
    277.35x = 416.31 × 189.51
  4. Step 4: Simplify right side
    277.35x = 78,894.91
  5. Step 5: Solve for x
    x = 78,894.91/277.35
  6. Step 6: Final answer
    x = 284.46

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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.