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Finding the Fourth Proportional to 277.54, 383.14 and 215.24

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Solution

The fourth proportional to 277.54, 383.14 and 215.24 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.54 : 383.14 = 215.24 : x
  2. Step 2: Convert to fraction form
    277.54/383.14 = 215.24/x
  3. Step 3: Cross multiply
    277.54x = 383.14 × 215.24
  4. Step 4: Simplify right side
    277.54x = 82,467.05
  5. Step 5: Solve for x
    x = 82,467.05/277.54
  6. Step 6: Final answer
    x = 297.14

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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.