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Finding the Fourth Proportional to 434.43, 651.09 and 160.20

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Solution

The fourth proportional to 434.43, 651.09 and 160.20 is: 240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.43 : 651.09 = 160.20 : x
  2. Step 2: Convert to fraction form
    434.43/651.09 = 160.20/x
  3. Step 3: Cross multiply
    434.43x = 651.09 × 160.20
  4. Step 4: Simplify right side
    434.43x = 104,304.62
  5. Step 5: Solve for x
    x = 104,304.62/434.43
  6. Step 6: Final answer
    x = 240.10

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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.