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Finding the Fourth Proportional to 261.43, 391.23 and 180.02

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Solution

The fourth proportional to 261.43, 391.23 and 180.02 is: 269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.43 : 391.23 = 180.02 : x
  2. Step 2: Convert to fraction form
    261.43/391.23 = 180.02/x
  3. Step 3: Cross multiply
    261.43x = 391.23 × 180.02
  4. Step 4: Simplify right side
    261.43x = 70,430.20
  5. Step 5: Solve for x
    x = 70,430.20/261.43
  6. Step 6: Final answer
    x = 269.41

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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.