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Finding the Fourth Proportional to 176.14, 264.24 and 89.52

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Solution

The fourth proportional to 176.14, 264.24 and 89.52 is: 134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 264.24 = 89.52 : x
  2. Step 2: Convert to fraction form
    176.14/264.24 = 89.52/x
  3. Step 3: Cross multiply
    176.14x = 264.24 × 89.52
  4. Step 4: Simplify right side
    176.14x = 23,654.76
  5. Step 5: Solve for x
    x = 23,654.76/176.14
  6. Step 6: Final answer
    x = 134.30

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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.