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Finding the Fourth Proportional to 309.03, 463.23 and 171.87

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Solution

The fourth proportional to 309.03, 463.23 and 171.87 is: 257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.03 : 463.23 = 171.87 : x
  2. Step 2: Convert to fraction form
    309.03/463.23 = 171.87/x
  3. Step 3: Cross multiply
    309.03x = 463.23 × 171.87
  4. Step 4: Simplify right side
    309.03x = 79,615.34
  5. Step 5: Solve for x
    x = 79,615.34/309.03
  6. Step 6: Final answer
    x = 257.63

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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.