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Finding the Fourth Proportional to 174.56, 240.30 and 130.82

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Solution

The fourth proportional to 174.56, 240.30 and 130.82 is: 180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 240.30 = 130.82 : x
  2. Step 2: Convert to fraction form
    174.56/240.30 = 130.82/x
  3. Step 3: Cross multiply
    174.56x = 240.30 × 130.82
  4. Step 4: Simplify right side
    174.56x = 31,434.84
  5. Step 5: Solve for x
    x = 31,434.84/174.56
  6. Step 6: Final answer
    x = 180.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.