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Finding the Fourth Proportional to 434.15, 650.83 and 160.05

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Solution

The fourth proportional to 434.15, 650.83 and 160.05 is: 239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.15 : 650.83 = 160.05 : x
  2. Step 2: Convert to fraction form
    434.15/650.83 = 160.05/x
  3. Step 3: Cross multiply
    434.15x = 650.83 × 160.05
  4. Step 4: Simplify right side
    434.15x = 104,165.34
  5. Step 5: Solve for x
    x = 104,165.34/434.15
  6. Step 6: Final answer
    x = 239.93

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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.