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Finding the Fourth Proportional to 433.72, 650.92 and 160

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Solution

The fourth proportional to 433.72, 650.92 and 160 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 650.92 = 160 : x
  2. Step 2: Convert to fraction form
    433.72/650.92 = 160/x
  3. Step 3: Cross multiply
    433.72x = 650.92 × 160
  4. Step 4: Simplify right side
    433.72x = 104,147.20
  5. Step 5: Solve for x
    x = 104,147.20/433.72
  6. Step 6: Final answer
    x = 240.13

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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.