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Finding the Fourth Proportional to 174.64, 261.36 and 135.84

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Solution

The fourth proportional to 174.64, 261.36 and 135.84 is: 203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.64 : 261.36 = 135.84 : x
  2. Step 2: Convert to fraction form
    174.64/261.36 = 135.84/x
  3. Step 3: Cross multiply
    174.64x = 261.36 × 135.84
  4. Step 4: Simplify right side
    174.64x = 35,503.14
  5. Step 5: Solve for x
    x = 35,503.14/174.64
  6. Step 6: Final answer
    x = 203.29

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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.