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Finding the Fourth Proportional to 649.05, 973.71 and 186.90

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Solution

The fourth proportional to 649.05, 973.71 and 186.90 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.05 : 973.71 = 186.90 : x
  2. Step 2: Convert to fraction form
    649.05/973.71 = 186.90/x
  3. Step 3: Cross multiply
    649.05x = 973.71 × 186.90
  4. Step 4: Simplify right side
    649.05x = 181,986.40
  5. Step 5: Solve for x
    x = 181,986.40/649.05
  6. Step 6: Final answer
    x = 280.39

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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.