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Finding the Fourth Proportional to 176.78, 265.35 and 136.64

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Solution

The fourth proportional to 176.78, 265.35 and 136.64 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 265.35 = 136.64 : x
  2. Step 2: Convert to fraction form
    176.78/265.35 = 136.64/x
  3. Step 3: Cross multiply
    176.78x = 265.35 × 136.64
  4. Step 4: Simplify right side
    176.78x = 36,257.42
  5. Step 5: Solve for x
    x = 36,257.42/176.78
  6. Step 6: Final answer
    x = 205.10

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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.