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Finding the Fourth Proportional to 178.84, 246.75 and 105.13

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Solution

The fourth proportional to 178.84, 246.75 and 105.13 is: 145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.84 : 246.75 = 105.13 : x
  2. Step 2: Convert to fraction form
    178.84/246.75 = 105.13/x
  3. Step 3: Cross multiply
    178.84x = 246.75 × 105.13
  4. Step 4: Simplify right side
    178.84x = 25,940.83
  5. Step 5: Solve for x
    x = 25,940.83/178.84
  6. Step 6: Final answer
    x = 145.05

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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.