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Finding the Fourth Proportional to 434.14, 650.81 and 160.03

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Solution

The fourth proportional to 434.14, 650.81 and 160.03 is: 239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 650.81 = 160.03 : x
  2. Step 2: Convert to fraction form
    434.14/650.81 = 160.03/x
  3. Step 3: Cross multiply
    434.14x = 650.81 × 160.03
  4. Step 4: Simplify right side
    434.14x = 104,146.27
  5. Step 5: Solve for x
    x = 104,146.27/434.14
  6. Step 6: Final answer
    x = 239.89

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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.