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Finding the Fourth Proportional to 209.10, 313.80 and 157.16

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Solution

The fourth proportional to 209.10, 313.80 and 157.16 is: 235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.10 : 313.80 = 157.16 : x
  2. Step 2: Convert to fraction form
    209.10/313.80 = 157.16/x
  3. Step 3: Cross multiply
    209.10x = 313.80 × 157.16
  4. Step 4: Simplify right side
    209.10x = 49,316.81
  5. Step 5: Solve for x
    x = 49,316.81/209.10
  6. Step 6: Final answer
    x = 235.85

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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.