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Finding the Fourth Proportional to 444.63, 667.08 and 156.07

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Solution

The fourth proportional to 444.63, 667.08 and 156.07 is: 234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.63 : 667.08 = 156.07 : x
  2. Step 2: Convert to fraction form
    444.63/667.08 = 156.07/x
  3. Step 3: Cross multiply
    444.63x = 667.08 × 156.07
  4. Step 4: Simplify right side
    444.63x = 104,111.18
  5. Step 5: Solve for x
    x = 104,111.18/444.63
  6. Step 6: Final answer
    x = 234.15

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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.