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Finding the Fourth Proportional to 336.45, 504.66 and 144.07

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Solution

The fourth proportional to 336.45, 504.66 and 144.07 is: 216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.45 : 504.66 = 144.07 : x
  2. Step 2: Convert to fraction form
    336.45/504.66 = 144.07/x
  3. Step 3: Cross multiply
    336.45x = 504.66 × 144.07
  4. Step 4: Simplify right side
    336.45x = 72,706.37
  5. Step 5: Solve for x
    x = 72,706.37/336.45
  6. Step 6: Final answer
    x = 216.10

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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.