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Finding the Fourth Proportional to 176.64, 263.84 and 133.92

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Solution

The fourth proportional to 176.64, 263.84 and 133.92 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 263.84 = 133.92 : x
  2. Step 2: Convert to fraction form
    176.64/263.84 = 133.92/x
  3. Step 3: Cross multiply
    176.64x = 263.84 × 133.92
  4. Step 4: Simplify right side
    176.64x = 35,333.45
  5. Step 5: Solve for x
    x = 35,333.45/176.64
  6. Step 6: Final answer
    x = 200.03

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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.