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Finding the Fourth Proportional to 336.50, 504.62 and 151.46

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Solution

The fourth proportional to 336.50, 504.62 and 151.46 is: 227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.50 : 504.62 = 151.46 : x
  2. Step 2: Convert to fraction form
    336.50/504.62 = 151.46/x
  3. Step 3: Cross multiply
    336.50x = 504.62 × 151.46
  4. Step 4: Simplify right side
    336.50x = 76,426.46
  5. Step 5: Solve for x
    x = 76,426.46/336.50
  6. Step 6: Final answer
    x = 227.13

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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.