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Finding the Fourth Proportional to 176.37, 264.59 and 89.76

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Solution

The fourth proportional to 176.37, 264.59 and 89.76 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.37 : 264.59 = 89.76 : x
  2. Step 2: Convert to fraction form
    176.37/264.59 = 89.76/x
  3. Step 3: Cross multiply
    176.37x = 264.59 × 89.76
  4. Step 4: Simplify right side
    176.37x = 23,749.60
  5. Step 5: Solve for x
    x = 23,749.60/176.37
  6. Step 6: Final answer
    x = 134.66

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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.