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Finding the Fourth Proportional to 174.00, 260.28 and 124.94

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Solution

The fourth proportional to 174.00, 260.28 and 124.94 is: 186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.00 : 260.28 = 124.94 : x
  2. Step 2: Convert to fraction form
    174.00/260.28 = 124.94/x
  3. Step 3: Cross multiply
    174.00x = 260.28 × 124.94
  4. Step 4: Simplify right side
    174.00x = 32,520.03
  5. Step 5: Solve for x
    x = 32,520.03/174.00
  6. Step 6: Final answer
    x = 186.89

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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.