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Finding the Fourth Proportional to 433.16, 649.65 and 159.38

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Solution

The fourth proportional to 433.16, 649.65 and 159.38 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 649.65 = 159.38 : x
  2. Step 2: Convert to fraction form
    433.16/649.65 = 159.38/x
  3. Step 3: Cross multiply
    433.16x = 649.65 × 159.38
  4. Step 4: Simplify right side
    433.16x = 103,541.22
  5. Step 5: Solve for x
    x = 103,541.22/433.16
  6. Step 6: Final answer
    x = 239.04

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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.