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Finding the Fourth Proportional to 647.71, 971.41 and 185.38

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Solution

The fourth proportional to 647.71, 971.41 and 185.38 is: 278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.71 : 971.41 = 185.38 : x
  2. Step 2: Convert to fraction form
    647.71/971.41 = 185.38/x
  3. Step 3: Cross multiply
    647.71x = 971.41 × 185.38
  4. Step 4: Simplify right side
    647.71x = 180,079.99
  5. Step 5: Solve for x
    x = 180,079.99/647.71
  6. Step 6: Final answer
    x = 278.03

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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.