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Finding the Fourth Proportional to 647.50, 971.24 and 185.27

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Solution

The fourth proportional to 647.50, 971.24 and 185.27 is: 277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.50 : 971.24 = 185.27 : x
  2. Step 2: Convert to fraction form
    647.50/971.24 = 185.27/x
  3. Step 3: Cross multiply
    647.50x = 971.24 × 185.27
  4. Step 4: Simplify right side
    647.50x = 179,939.49
  5. Step 5: Solve for x
    x = 179,939.49/647.50
  6. Step 6: Final answer
    x = 277.90

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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.