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Finding the Fourth Proportional to 194.98, 292.04 and 178.38

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Solution

The fourth proportional to 194.98, 292.04 and 178.38 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.98 : 292.04 = 178.38 : x
  2. Step 2: Convert to fraction form
    194.98/292.04 = 178.38/x
  3. Step 3: Cross multiply
    194.98x = 292.04 × 178.38
  4. Step 4: Simplify right side
    194.98x = 52,094.10
  5. Step 5: Solve for x
    x = 52,094.10/194.98
  6. Step 6: Final answer
    x = 267.18

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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.