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Finding the Fourth Proportional to 272.10, 375.64 and 178.98

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Solution

The fourth proportional to 272.10, 375.64 and 178.98 is: 247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.10 : 375.64 = 178.98 : x
  2. Step 2: Convert to fraction form
    272.10/375.64 = 178.98/x
  3. Step 3: Cross multiply
    272.10x = 375.64 × 178.98
  4. Step 4: Simplify right side
    272.10x = 67,232.05
  5. Step 5: Solve for x
    x = 67,232.05/272.10
  6. Step 6: Final answer
    x = 247.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.