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Finding the Fourth Proportional to 289.61, 434.14 and 116.24

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Solution

The fourth proportional to 289.61, 434.14 and 116.24 is: 174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.61 : 434.14 = 116.24 : x
  2. Step 2: Convert to fraction form
    289.61/434.14 = 116.24/x
  3. Step 3: Cross multiply
    289.61x = 434.14 × 116.24
  4. Step 4: Simplify right side
    289.61x = 50,466.29
  5. Step 5: Solve for x
    x = 50,466.29/289.61
  6. Step 6: Final answer
    x = 174.26

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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.