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Finding the Fourth Proportional to 261.56, 392.04 and 180.44

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Solution

The fourth proportional to 261.56, 392.04 and 180.44 is: 270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.56 : 392.04 = 180.44 : x
  2. Step 2: Convert to fraction form
    261.56/392.04 = 180.44/x
  3. Step 3: Cross multiply
    261.56x = 392.04 × 180.44
  4. Step 4: Simplify right side
    261.56x = 70,739.70
  5. Step 5: Solve for x
    x = 70,739.70/261.56
  6. Step 6: Final answer
    x = 270.45

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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.