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Finding the Fourth Proportional to 194.55, 290.30 and 177.30

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Solution

The fourth proportional to 194.55, 290.30 and 177.30 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.55 : 290.30 = 177.30 : x
  2. Step 2: Convert to fraction form
    194.55/290.30 = 177.30/x
  3. Step 3: Cross multiply
    194.55x = 290.30 × 177.30
  4. Step 4: Simplify right side
    194.55x = 51,468.74
  5. Step 5: Solve for x
    x = 51,468.74/194.55
  6. Step 6: Final answer
    x = 264.56

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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.