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Finding the Fourth Proportional to 209.64, 289.32 and 116.42

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Solution

The fourth proportional to 209.64, 289.32 and 116.42 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 289.32 = 116.42 : x
  2. Step 2: Convert to fraction form
    209.64/289.32 = 116.42/x
  3. Step 3: Cross multiply
    209.64x = 289.32 × 116.42
  4. Step 4: Simplify right side
    209.64x = 33,681.19
  5. Step 5: Solve for x
    x = 33,681.19/209.64
  6. Step 6: Final answer
    x = 160.66

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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.