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Finding the Fourth Proportional to 209.64, 313.18 and 160.87

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Solution

The fourth proportional to 209.64, 313.18 and 160.87 is: 240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 313.18 = 160.87 : x
  2. Step 2: Convert to fraction form
    209.64/313.18 = 160.87/x
  3. Step 3: Cross multiply
    209.64x = 313.18 × 160.87
  4. Step 4: Simplify right side
    209.64x = 50,381.27
  5. Step 5: Solve for x
    x = 50,381.27/209.64
  6. Step 6: Final answer
    x = 240.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.