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Finding the Fourth Proportional to 272.42, 375.76 and 179.14

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Solution

The fourth proportional to 272.42, 375.76 and 179.14 is: 247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.42 : 375.76 = 179.14 : x
  2. Step 2: Convert to fraction form
    272.42/375.76 = 179.14/x
  3. Step 3: Cross multiply
    272.42x = 375.76 × 179.14
  4. Step 4: Simplify right side
    272.42x = 67,312.63
  5. Step 5: Solve for x
    x = 67,312.63/272.42
  6. Step 6: Final answer
    x = 247.09

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