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Finding the Fourth Proportional to 209, 313.02 and 154.10

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Solution

The fourth proportional to 209, 313.02 and 154.10 is: 230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 313.02 = 154.10 : x
  2. Step 2: Convert to fraction form
    209/313.02 = 154.10/x
  3. Step 3: Cross multiply
    209x = 313.02 × 154.10
  4. Step 4: Simplify right side
    209x = 48,236.38
  5. Step 5: Solve for x
    x = 48,236.38/209
  6. Step 6: Final answer
    x = 230.80

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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.