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Finding the Fourth Proportional to 176.51, 264.46 and 89.83

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Solution

The fourth proportional to 176.51, 264.46 and 89.83 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.51 : 264.46 = 89.83 : x
  2. Step 2: Convert to fraction form
    176.51/264.46 = 89.83/x
  3. Step 3: Cross multiply
    176.51x = 264.46 × 89.83
  4. Step 4: Simplify right side
    176.51x = 23,756.44
  5. Step 5: Solve for x
    x = 23,756.44/176.51
  6. Step 6: Final answer
    x = 134.59

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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.