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Finding the Fourth Proportional to 178.54, 246.42 and 146.14

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Solution

The fourth proportional to 178.54, 246.42 and 146.14 is: 201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 246.42 = 146.14 : x
  2. Step 2: Convert to fraction form
    178.54/246.42 = 146.14/x
  3. Step 3: Cross multiply
    178.54x = 246.42 × 146.14
  4. Step 4: Simplify right side
    178.54x = 36,011.82
  5. Step 5: Solve for x
    x = 36,011.82/178.54
  6. Step 6: Final answer
    x = 201.70

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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.