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Finding the Fourth Proportional to 336.90, 505.64 and 174.64

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Solution

The fourth proportional to 336.90, 505.64 and 174.64 is: 262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.90 : 505.64 = 174.64 : x
  2. Step 2: Convert to fraction form
    336.90/505.64 = 174.64/x
  3. Step 3: Cross multiply
    336.90x = 505.64 × 174.64
  4. Step 4: Simplify right side
    336.90x = 88,304.97
  5. Step 5: Solve for x
    x = 88,304.97/336.90
  6. Step 6: Final answer
    x = 262.11

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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.