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Finding the Fourth Proportional to 277.82, 383.39 and 153.48

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Solution

The fourth proportional to 277.82, 383.39 and 153.48 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.82 : 383.39 = 153.48 : x
  2. Step 2: Convert to fraction form
    277.82/383.39 = 153.48/x
  3. Step 3: Cross multiply
    277.82x = 383.39 × 153.48
  4. Step 4: Simplify right side
    277.82x = 58,841.41
  5. Step 5: Solve for x
    x = 58,841.41/277.82
  6. Step 6: Final answer
    x = 211.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.