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Finding the Fourth Proportional to 176.16, 263.82 and 135.45

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Solution

The fourth proportional to 176.16, 263.82 and 135.45 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.16 : 263.82 = 135.45 : x
  2. Step 2: Convert to fraction form
    176.16/263.82 = 135.45/x
  3. Step 3: Cross multiply
    176.16x = 263.82 × 135.45
  4. Step 4: Simplify right side
    176.16x = 35,734.42
  5. Step 5: Solve for x
    x = 35,734.42/176.16
  6. Step 6: Final answer
    x = 202.85

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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.