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Finding the Fourth Proportional to 444.96, 667.50 and 156.40

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Solution

The fourth proportional to 444.96, 667.50 and 156.40 is: 234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 667.50 = 156.40 : x
  2. Step 2: Convert to fraction form
    444.96/667.50 = 156.40/x
  3. Step 3: Cross multiply
    444.96x = 667.50 × 156.40
  4. Step 4: Simplify right side
    444.96x = 104,397
  5. Step 5: Solve for x
    x = 104,397/444.96
  6. Step 6: Final answer
    x = 234.62

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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.