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Finding the Fourth Proportional to 667.72, 1,001.42 and 180.77

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Solution

The fourth proportional to 667.72, 1,001.42 and 180.77 is: 271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.72 : 1,001.42 = 180.77 : x
  2. Step 2: Convert to fraction form
    667.72/1,001.42 = 180.77/x
  3. Step 3: Cross multiply
    667.72x = 1,001.42 × 180.77
  4. Step 4: Simplify right side
    667.72x = 181,025.79
  5. Step 5: Solve for x
    x = 181,025.79/667.72
  6. Step 6: Final answer
    x = 271.11

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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.