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Finding the Fourth Proportional to 180.63, 271.22 and 177.93

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Solution

The fourth proportional to 180.63, 271.22 and 177.93 is: 267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 271.22 = 177.93 : x
  2. Step 2: Convert to fraction form
    180.63/271.22 = 177.93/x
  3. Step 3: Cross multiply
    180.63x = 271.22 × 177.93
  4. Step 4: Simplify right side
    180.63x = 48,257.28
  5. Step 5: Solve for x
    x = 48,257.28/180.63
  6. Step 6: Final answer
    x = 267.16

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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.