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Finding the Fourth Proportional to 335.64, 503.21 and 153.09

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Solution

The fourth proportional to 335.64, 503.21 and 153.09 is: 229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.64 : 503.21 = 153.09 : x
  2. Step 2: Convert to fraction form
    335.64/503.21 = 153.09/x
  3. Step 3: Cross multiply
    335.64x = 503.21 × 153.09
  4. Step 4: Simplify right side
    335.64x = 77,036.80
  5. Step 5: Solve for x
    x = 77,036.80/335.64
  6. Step 6: Final answer
    x = 229.52

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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.