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Finding the Fourth Proportional to 178.82, 246.75 and 105.16

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Solution

The fourth proportional to 178.82, 246.75 and 105.16 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.82 : 246.75 = 105.16 : x
  2. Step 2: Convert to fraction form
    178.82/246.75 = 105.16/x
  3. Step 3: Cross multiply
    178.82x = 246.75 × 105.16
  4. Step 4: Simplify right side
    178.82x = 25,948.23
  5. Step 5: Solve for x
    x = 25,948.23/178.82
  6. Step 6: Final answer
    x = 145.11

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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.