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Finding the Fourth Proportional to 374.09, 560.82 and 178.98

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Solution

The fourth proportional to 374.09, 560.82 and 178.98 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.09 : 560.82 = 178.98 : x
  2. Step 2: Convert to fraction form
    374.09/560.82 = 178.98/x
  3. Step 3: Cross multiply
    374.09x = 560.82 × 178.98
  4. Step 4: Simplify right side
    374.09x = 100,375.56
  5. Step 5: Solve for x
    x = 100,375.56/374.09
  6. Step 6: Final answer
    x = 268.32

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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.