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Finding the Fourth Proportional to 433.94, 651.15 and 177.46

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Solution

The fourth proportional to 433.94, 651.15 and 177.46 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.94 : 651.15 = 177.46 : x
  2. Step 2: Convert to fraction form
    433.94/651.15 = 177.46/x
  3. Step 3: Cross multiply
    433.94x = 651.15 × 177.46
  4. Step 4: Simplify right side
    433.94x = 115,553.08
  5. Step 5: Solve for x
    x = 115,553.08/433.94
  6. Step 6: Final answer
    x = 266.29

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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.