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Finding the Fourth Proportional to 178.84, 246.84 and 105.16

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Solution

The fourth proportional to 178.84, 246.84 and 105.16 is: 145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.84 : 246.84 = 105.16 : x
  2. Step 2: Convert to fraction form
    178.84/246.84 = 105.16/x
  3. Step 3: Cross multiply
    178.84x = 246.84 × 105.16
  4. Step 4: Simplify right side
    178.84x = 25,957.69
  5. Step 5: Solve for x
    x = 25,957.69/178.84
  6. Step 6: Final answer
    x = 145.14

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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.