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Finding the Fourth Proportional to 261.74, 391.89 and 180.02

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Solution

The fourth proportional to 261.74, 391.89 and 180.02 is: 269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.74 : 391.89 = 180.02 : x
  2. Step 2: Convert to fraction form
    261.74/391.89 = 180.02/x
  3. Step 3: Cross multiply
    261.74x = 391.89 × 180.02
  4. Step 4: Simplify right side
    261.74x = 70,548.04
  5. Step 5: Solve for x
    x = 70,548.04/261.74
  6. Step 6: Final answer
    x = 269.53

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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.