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Finding the Fourth Proportional to 336.68, 504.95 and 206.63

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Solution

The fourth proportional to 336.68, 504.95 and 206.63 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.68 : 504.95 = 206.63 : x
  2. Step 2: Convert to fraction form
    336.68/504.95 = 206.63/x
  3. Step 3: Cross multiply
    336.68x = 504.95 × 206.63
  4. Step 4: Simplify right side
    336.68x = 104,335.81
  5. Step 5: Solve for x
    x = 104,335.81/336.68
  6. Step 6: Final answer
    x = 309.90

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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.