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Finding the Fourth Proportional to 178.56, 246.56 and 126.11

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Solution

The fourth proportional to 178.56, 246.56 and 126.11 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 246.56 = 126.11 : x
  2. Step 2: Convert to fraction form
    178.56/246.56 = 126.11/x
  3. Step 3: Cross multiply
    178.56x = 246.56 × 126.11
  4. Step 4: Simplify right side
    178.56x = 31,094.38
  5. Step 5: Solve for x
    x = 31,094.38/178.56
  6. Step 6: Final answer
    x = 174.14

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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.