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Finding the Fourth Proportional to 209.64, 314.19 and 174.81

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Solution

The fourth proportional to 209.64, 314.19 and 174.81 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 314.19 = 174.81 : x
  2. Step 2: Convert to fraction form
    209.64/314.19 = 174.81/x
  3. Step 3: Cross multiply
    209.64x = 314.19 × 174.81
  4. Step 4: Simplify right side
    209.64x = 54,923.55
  5. Step 5: Solve for x
    x = 54,923.55/209.64
  6. Step 6: Final answer
    x = 261.99

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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.