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Finding the Fourth Proportional to 178.84, 246.82 and 105.14

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Solution

The fourth proportional to 178.84, 246.82 and 105.14 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.84 : 246.82 = 105.14 : x
  2. Step 2: Convert to fraction form
    178.84/246.82 = 105.14/x
  3. Step 3: Cross multiply
    178.84x = 246.82 × 105.14
  4. Step 4: Simplify right side
    178.84x = 25,950.65
  5. Step 5: Solve for x
    x = 25,950.65/178.84
  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.