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Finding the Fourth Proportional to 336.63, 504.95 and 144.25

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Solution

The fourth proportional to 336.63, 504.95 and 144.25 is: 216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.63 : 504.95 = 144.25 : x
  2. Step 2: Convert to fraction form
    336.63/504.95 = 144.25/x
  3. Step 3: Cross multiply
    336.63x = 504.95 × 144.25
  4. Step 4: Simplify right side
    336.63x = 72,839.04
  5. Step 5: Solve for x
    x = 72,839.04/336.63
  6. Step 6: Final answer
    x = 216.38

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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.