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Finding the Fourth Proportional to 194.90, 291.00 and 175.46

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Solution

The fourth proportional to 194.90, 291.00 and 175.46 is: 261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.90 : 291.00 = 175.46 : x
  2. Step 2: Convert to fraction form
    194.90/291.00 = 175.46/x
  3. Step 3: Cross multiply
    194.90x = 291.00 × 175.46
  4. Step 4: Simplify right side
    194.90x = 51,059.15
  5. Step 5: Solve for x
    x = 51,059.15/194.90
  6. Step 6: Final answer
    x = 261.97

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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.