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Finding the Fourth Proportional to 767.84, 1,152.16 and 248

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Solution

The fourth proportional to 767.84, 1,152.16 and 248 is: 372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.84 : 1,152.16 = 248 : x
  2. Step 2: Convert to fraction form
    767.84/1,152.16 = 248/x
  3. Step 3: Cross multiply
    767.84x = 1,152.16 × 248
  4. Step 4: Simplify right side
    767.84x = 285,735.68
  5. Step 5: Solve for x
    x = 285,735.68/767.84
  6. Step 6: Final answer
    x = 372.13

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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.