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Finding the Fourth Proportional to 339.84, 509.24 and 202.56

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Solution

The fourth proportional to 339.84, 509.24 and 202.56 is: 303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.84 : 509.24 = 202.56 : x
  2. Step 2: Convert to fraction form
    339.84/509.24 = 202.56/x
  3. Step 3: Cross multiply
    339.84x = 509.24 × 202.56
  4. Step 4: Simplify right side
    339.84x = 103,151.65
  5. Step 5: Solve for x
    x = 103,151.65/339.84
  6. Step 6: Final answer
    x = 303.53

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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.