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Finding the Fourth Proportional to 261.65, 393.39 and 180.86

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Solution

The fourth proportional to 261.65, 393.39 and 180.86 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.65 : 393.39 = 180.86 : x
  2. Step 2: Convert to fraction form
    261.65/393.39 = 180.86/x
  3. Step 3: Cross multiply
    261.65x = 393.39 × 180.86
  4. Step 4: Simplify right side
    261.65x = 71,146.55
  5. Step 5: Solve for x
    x = 71,146.55/261.65
  6. Step 6: Final answer
    x = 271.91

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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.