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Finding the Fourth Proportional to 176.92, 264.17 and 158.32

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Solution

The fourth proportional to 176.92, 264.17 and 158.32 is: 236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.92 : 264.17 = 158.32 : x
  2. Step 2: Convert to fraction form
    176.92/264.17 = 158.32/x
  3. Step 3: Cross multiply
    176.92x = 264.17 × 158.32
  4. Step 4: Simplify right side
    176.92x = 41,823.39
  5. Step 5: Solve for x
    x = 41,823.39/176.92
  6. Step 6: Final answer
    x = 236.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.