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Finding the Fourth Proportional to 195.21, 291.37 and 178.98

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Solution

The fourth proportional to 195.21, 291.37 and 178.98 is: 267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.21 : 291.37 = 178.98 : x
  2. Step 2: Convert to fraction form
    195.21/291.37 = 178.98/x
  3. Step 3: Cross multiply
    195.21x = 291.37 × 178.98
  4. Step 4: Simplify right side
    195.21x = 52,149.40
  5. Step 5: Solve for x
    x = 52,149.40/195.21
  6. Step 6: Final answer
    x = 267.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.