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Finding the Fourth Proportional to 617.78, 926.69 and 184.88

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Solution

The fourth proportional to 617.78, 926.69 and 184.88 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.78 : 926.69 = 184.88 : x
  2. Step 2: Convert to fraction form
    617.78/926.69 = 184.88/x
  3. Step 3: Cross multiply
    617.78x = 926.69 × 184.88
  4. Step 4: Simplify right side
    617.78x = 171,320.89
  5. Step 5: Solve for x
    x = 171,320.89/617.78
  6. Step 6: Final answer
    x = 277.32

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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.