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Finding the Fourth Proportional to 178.66, 246.42 and 123.40

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Solution

The fourth proportional to 178.66, 246.42 and 123.40 is: 170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.66 : 246.42 = 123.40 : x
  2. Step 2: Convert to fraction form
    178.66/246.42 = 123.40/x
  3. Step 3: Cross multiply
    178.66x = 246.42 × 123.40
  4. Step 4: Simplify right side
    178.66x = 30,408.23
  5. Step 5: Solve for x
    x = 30,408.23/178.66
  6. Step 6: Final answer
    x = 170.20

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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.