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Finding the Fourth Proportional to 434.06, 650.94 and 160.13

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Solution

The fourth proportional to 434.06, 650.94 and 160.13 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.06 : 650.94 = 160.13 : x
  2. Step 2: Convert to fraction form
    434.06/650.94 = 160.13/x
  3. Step 3: Cross multiply
    434.06x = 650.94 × 160.13
  4. Step 4: Simplify right side
    434.06x = 104,232.39
  5. Step 5: Solve for x
    x = 104,232.39/434.06
  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.