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Finding the Fourth Proportional to 289.31, 434.13 and 174.04

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Solution

The fourth proportional to 289.31, 434.13 and 174.04 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.31 : 434.13 = 174.04 : x
  2. Step 2: Convert to fraction form
    289.31/434.13 = 174.04/x
  3. Step 3: Cross multiply
    289.31x = 434.13 × 174.04
  4. Step 4: Simplify right side
    289.31x = 75,554.25
  5. Step 5: Solve for x
    x = 75,554.25/289.31
  6. Step 6: Final answer
    x = 261.16

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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.