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Finding the Fourth Proportional to 209.50, 313.98 and 154.96

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Solution

The fourth proportional to 209.50, 313.98 and 154.96 is: 232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.50 : 313.98 = 154.96 : x
  2. Step 2: Convert to fraction form
    209.50/313.98 = 154.96/x
  3. Step 3: Cross multiply
    209.50x = 313.98 × 154.96
  4. Step 4: Simplify right side
    209.50x = 48,654.34
  5. Step 5: Solve for x
    x = 48,654.34/209.50
  6. Step 6: Final answer
    x = 232.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.