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Finding the Fourth Proportional to 289.06, 432.93 and 173.27

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Solution

The fourth proportional to 289.06, 432.93 and 173.27 is: 259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.06 : 432.93 = 173.27 : x
  2. Step 2: Convert to fraction form
    289.06/432.93 = 173.27/x
  3. Step 3: Cross multiply
    289.06x = 432.93 × 173.27
  4. Step 4: Simplify right side
    289.06x = 75,013.78
  5. Step 5: Solve for x
    x = 75,013.78/289.06
  6. Step 6: Final answer
    x = 259.51

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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.