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Finding the Fourth Proportional to 255.72, 381.40 and 248

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Solution

The fourth proportional to 255.72, 381.40 and 248 is: 369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.72 : 381.40 = 248 : x
  2. Step 2: Convert to fraction form
    255.72/381.40 = 248/x
  3. Step 3: Cross multiply
    255.72x = 381.40 × 248
  4. Step 4: Simplify right side
    255.72x = 94,587.20
  5. Step 5: Solve for x
    x = 94,587.20/255.72
  6. Step 6: Final answer
    x = 369.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.