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Finding the Fourth Proportional to 177.94, 267.08 and 91.34

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Solution

The fourth proportional to 177.94, 267.08 and 91.34 is: 137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.94 : 267.08 = 91.34 : x
  2. Step 2: Convert to fraction form
    177.94/267.08 = 91.34/x
  3. Step 3: Cross multiply
    177.94x = 267.08 × 91.34
  4. Step 4: Simplify right side
    177.94x = 24,395.09
  5. Step 5: Solve for x
    x = 24,395.09/177.94
  6. Step 6: Final answer
    x = 137.10

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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.