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Finding the Fourth Proportional to 667.81, 1,001.60 and 180.80

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Solution

The fourth proportional to 667.81, 1,001.60 and 180.80 is: 271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.81 : 1,001.60 = 180.80 : x
  2. Step 2: Convert to fraction form
    667.81/1,001.60 = 180.80/x
  3. Step 3: Cross multiply
    667.81x = 1,001.60 × 180.80
  4. Step 4: Simplify right side
    667.81x = 181,088.38
  5. Step 5: Solve for x
    x = 181,088.38/667.81
  6. Step 6: Final answer
    x = 271.17

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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.