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Finding the Fourth Proportional to 336.14, 504.05 and 153.74

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Solution

The fourth proportional to 336.14, 504.05 and 153.74 is: 230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.14 : 504.05 = 153.74 : x
  2. Step 2: Convert to fraction form
    336.14/504.05 = 153.74/x
  3. Step 3: Cross multiply
    336.14x = 504.05 × 153.74
  4. Step 4: Simplify right side
    336.14x = 77,489.36
  5. Step 5: Solve for x
    x = 77,489.36/336.14
  6. Step 6: Final answer
    x = 230.53

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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.