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Finding the Fourth Proportional to 209.94, 289.72 and 135.32

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Solution

The fourth proportional to 209.94, 289.72 and 135.32 is: 186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.94 : 289.72 = 135.32 : x
  2. Step 2: Convert to fraction form
    209.94/289.72 = 135.32/x
  3. Step 3: Cross multiply
    209.94x = 289.72 × 135.32
  4. Step 4: Simplify right side
    209.94x = 39,204.91
  5. Step 5: Solve for x
    x = 39,204.91/209.94
  6. Step 6: Final answer
    x = 186.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.