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Finding the Fourth Proportional to 261.41, 392.29 and 180.09

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Solution

The fourth proportional to 261.41, 392.29 and 180.09 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.41 : 392.29 = 180.09 : x
  2. Step 2: Convert to fraction form
    261.41/392.29 = 180.09/x
  3. Step 3: Cross multiply
    261.41x = 392.29 × 180.09
  4. Step 4: Simplify right side
    261.41x = 70,647.06
  5. Step 5: Solve for x
    x = 70,647.06/261.41
  6. Step 6: Final answer
    x = 270.26

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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.