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Finding the Fourth Proportional to 176.26, 264.46 and 89.50

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Solution

The fourth proportional to 176.26, 264.46 and 89.50 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.26 : 264.46 = 89.50 : x
  2. Step 2: Convert to fraction form
    176.26/264.46 = 89.50/x
  3. Step 3: Cross multiply
    176.26x = 264.46 × 89.50
  4. Step 4: Simplify right side
    176.26x = 23,669.17
  5. Step 5: Solve for x
    x = 23,669.17/176.26
  6. Step 6: Final answer
    x = 134.29

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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.