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Finding the Fourth Proportional to 336.42, 504.76 and 144.06

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Solution

The fourth proportional to 336.42, 504.76 and 144.06 is: 216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.42 : 504.76 = 144.06 : x
  2. Step 2: Convert to fraction form
    336.42/504.76 = 144.06/x
  3. Step 3: Cross multiply
    336.42x = 504.76 × 144.06
  4. Step 4: Simplify right side
    336.42x = 72,715.73
  5. Step 5: Solve for x
    x = 72,715.73/336.42
  6. Step 6: Final answer
    x = 216.15

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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.