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Finding the Fourth Proportional to 176.25, 264.39 and 150.40

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Solution

The fourth proportional to 176.25, 264.39 and 150.40 is: 225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.25 : 264.39 = 150.40 : x
  2. Step 2: Convert to fraction form
    176.25/264.39 = 150.40/x
  3. Step 3: Cross multiply
    176.25x = 264.39 × 150.40
  4. Step 4: Simplify right side
    176.25x = 39,764.26
  5. Step 5: Solve for x
    x = 39,764.26/176.25
  6. Step 6: Final answer
    x = 225.61

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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.