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Finding the Fourth Proportional to 261.72, 391.74 and 180.32

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Solution

The fourth proportional to 261.72, 391.74 and 180.32 is: 269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.72 : 391.74 = 180.32 : x
  2. Step 2: Convert to fraction form
    261.72/391.74 = 180.32/x
  3. Step 3: Cross multiply
    261.72x = 391.74 × 180.32
  4. Step 4: Simplify right side
    261.72x = 70,638.56
  5. Step 5: Solve for x
    x = 70,638.56/261.72
  6. Step 6: Final answer
    x = 269.90

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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.