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Finding the Fourth Proportional to 647.94, 972.07 and 185.73

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Solution

The fourth proportional to 647.94, 972.07 and 185.73 is: 278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.94 : 972.07 = 185.73 : x
  2. Step 2: Convert to fraction form
    647.94/972.07 = 185.73/x
  3. Step 3: Cross multiply
    647.94x = 972.07 × 185.73
  4. Step 4: Simplify right side
    647.94x = 180,542.10
  5. Step 5: Solve for x
    x = 180,542.10/647.94
  6. Step 6: Final answer
    x = 278.64

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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.