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Finding the Fourth Proportional to 209.16, 313.56 and 158.04

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Solution

The fourth proportional to 209.16, 313.56 and 158.04 is: 236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 313.56 = 158.04 : x
  2. Step 2: Convert to fraction form
    209.16/313.56 = 158.04/x
  3. Step 3: Cross multiply
    209.16x = 313.56 × 158.04
  4. Step 4: Simplify right side
    209.16x = 49,555.02
  5. Step 5: Solve for x
    x = 49,555.02/209.16
  6. Step 6: Final answer
    x = 236.92

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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.