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Finding the Fourth Proportional to 397.19, 596.02 and 177.80

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Solution

The fourth proportional to 397.19, 596.02 and 177.80 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.19 : 596.02 = 177.80 : x
  2. Step 2: Convert to fraction form
    397.19/596.02 = 177.80/x
  3. Step 3: Cross multiply
    397.19x = 596.02 × 177.80
  4. Step 4: Simplify right side
    397.19x = 105,972.36
  5. Step 5: Solve for x
    x = 105,972.36/397.19
  6. Step 6: Final answer
    x = 266.81

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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.