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Finding the Fourth Proportional to 289.51, 434.75 and 180.04

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Solution

The fourth proportional to 289.51, 434.75 and 180.04 is: 270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 434.75 = 180.04 : x
  2. Step 2: Convert to fraction form
    289.51/434.75 = 180.04/x
  3. Step 3: Cross multiply
    289.51x = 434.75 × 180.04
  4. Step 4: Simplify right side
    289.51x = 78,272.39
  5. Step 5: Solve for x
    x = 78,272.39/289.51
  6. Step 6: Final answer
    x = 270.36

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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.