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Finding the Fourth Proportional to 178.83, 246.75 and 105.17

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Solution

The fourth proportional to 178.83, 246.75 and 105.17 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.83 : 246.75 = 105.17 : x
  2. Step 2: Convert to fraction form
    178.83/246.75 = 105.17/x
  3. Step 3: Cross multiply
    178.83x = 246.75 × 105.17
  4. Step 4: Simplify right side
    178.83x = 25,949.46
  5. Step 5: Solve for x
    x = 25,949.46/178.83
  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.