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Finding the Fourth Proportional to 336.30, 503.82 and 174.08

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Solution

The fourth proportional to 336.30, 503.82 and 174.08 is: 260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.30 : 503.82 = 174.08 : x
  2. Step 2: Convert to fraction form
    336.30/503.82 = 174.08/x
  3. Step 3: Cross multiply
    336.30x = 503.82 × 174.08
  4. Step 4: Simplify right side
    336.30x = 87,702.47
  5. Step 5: Solve for x
    x = 87,702.47/336.30
  6. Step 6: Final answer
    x = 260.79

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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.