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Finding the Fourth Proportional to 289.55, 434.09 and 116.14

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Solution

The fourth proportional to 289.55, 434.09 and 116.14 is: 174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.55 : 434.09 = 116.14 : x
  2. Step 2: Convert to fraction form
    289.55/434.09 = 116.14/x
  3. Step 3: Cross multiply
    289.55x = 434.09 × 116.14
  4. Step 4: Simplify right side
    289.55x = 50,415.21
  5. Step 5: Solve for x
    x = 50,415.21/289.55
  6. Step 6: Final answer
    x = 174.12

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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.