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Finding the Fourth Proportional to 176.80, 264.59 and 135.04

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Solution

The fourth proportional to 176.80, 264.59 and 135.04 is: 202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 264.59 = 135.04 : x
  2. Step 2: Convert to fraction form
    176.80/264.59 = 135.04/x
  3. Step 3: Cross multiply
    176.80x = 264.59 × 135.04
  4. Step 4: Simplify right side
    176.80x = 35,729.40
  5. Step 5: Solve for x
    x = 35,729.40/176.80
  6. Step 6: Final answer
    x = 202.09

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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.