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Finding the Fourth Proportional to 335.63, 503.10 and 119.06

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Solution

The fourth proportional to 335.63, 503.10 and 119.06 is: 178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.63 : 503.10 = 119.06 : x
  2. Step 2: Convert to fraction form
    335.63/503.10 = 119.06/x
  3. Step 3: Cross multiply
    335.63x = 503.10 × 119.06
  4. Step 4: Simplify right side
    335.63x = 59,899.09
  5. Step 5: Solve for x
    x = 59,899.09/335.63
  6. Step 6: Final answer
    x = 178.47

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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.