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Finding the Fourth Proportional to 174.54, 260.52 and 156.27

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Solution

The fourth proportional to 174.54, 260.52 and 156.27 is: 233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.54 : 260.52 = 156.27 : x
  2. Step 2: Convert to fraction form
    174.54/260.52 = 156.27/x
  3. Step 3: Cross multiply
    174.54x = 260.52 × 156.27
  4. Step 4: Simplify right side
    174.54x = 40,711.46
  5. Step 5: Solve for x
    x = 40,711.46/174.54
  6. Step 6: Final answer
    x = 233.25

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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.