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Finding the Fourth Proportional to 178.08, 245.68 and 108.96

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Solution

The fourth proportional to 178.08, 245.68 and 108.96 is: 150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.08 : 245.68 = 108.96 : x
  2. Step 2: Convert to fraction form
    178.08/245.68 = 108.96/x
  3. Step 3: Cross multiply
    178.08x = 245.68 × 108.96
  4. Step 4: Simplify right side
    178.08x = 26,769.29
  5. Step 5: Solve for x
    x = 26,769.29/178.08
  6. Step 6: Final answer
    x = 150.32

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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.