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Finding the Fourth Proportional to 277.67, 383.55 and 212.51

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Solution

The fourth proportional to 277.67, 383.55 and 212.51 is: 293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 383.55 = 212.51 : x
  2. Step 2: Convert to fraction form
    277.67/383.55 = 212.51/x
  3. Step 3: Cross multiply
    277.67x = 383.55 × 212.51
  4. Step 4: Simplify right side
    277.67x = 81,508.21
  5. Step 5: Solve for x
    x = 81,508.21/277.67
  6. Step 6: Final answer
    x = 293.54

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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.