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Finding the Fourth Proportional to 178.16, 245.84 and 154.96

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Solution

The fourth proportional to 178.16, 245.84 and 154.96 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 245.84 = 154.96 : x
  2. Step 2: Convert to fraction form
    178.16/245.84 = 154.96/x
  3. Step 3: Cross multiply
    178.16x = 245.84 × 154.96
  4. Step 4: Simplify right side
    178.16x = 38,095.37
  5. Step 5: Solve for x
    x = 38,095.37/178.16
  6. Step 6: Final answer
    x = 213.83

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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.