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Finding the Fourth Proportional to 300.94, 450.59 and 156.35

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Solution

The fourth proportional to 300.94, 450.59 and 156.35 is: 234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.94 : 450.59 = 156.35 : x
  2. Step 2: Convert to fraction form
    300.94/450.59 = 156.35/x
  3. Step 3: Cross multiply
    300.94x = 450.59 × 156.35
  4. Step 4: Simplify right side
    300.94x = 70,452.69
  5. Step 5: Solve for x
    x = 70,452.69/300.94
  6. Step 6: Final answer
    x = 234.11

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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.