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Finding the Fourth Proportional to 267.80, 401.64 and 94.58

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Solution

The fourth proportional to 267.80, 401.64 and 94.58 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.80 : 401.64 = 94.58 : x
  2. Step 2: Convert to fraction form
    267.80/401.64 = 94.58/x
  3. Step 3: Cross multiply
    267.80x = 401.64 × 94.58
  4. Step 4: Simplify right side
    267.80x = 37,985.10
  5. Step 5: Solve for x
    x = 37,985.10/267.80
  6. Step 6: Final answer
    x = 141.84

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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.