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Finding the Fourth Proportional to 649.32, 973.99 and 162.37

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Solution

The fourth proportional to 649.32, 973.99 and 162.37 is: 243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 973.99 = 162.37 : x
  2. Step 2: Convert to fraction form
    649.32/973.99 = 162.37/x
  3. Step 3: Cross multiply
    649.32x = 973.99 × 162.37
  4. Step 4: Simplify right side
    649.32x = 158,148.18
  5. Step 5: Solve for x
    x = 158,148.18/649.32
  6. Step 6: Final answer
    x = 243.56

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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.