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Finding the Fourth Proportional to 340.56, 509.76 and 203.22

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Solution

The fourth proportional to 340.56, 509.76 and 203.22 is: 304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 509.76 = 203.22 : x
  2. Step 2: Convert to fraction form
    340.56/509.76 = 203.22/x
  3. Step 3: Cross multiply
    340.56x = 509.76 × 203.22
  4. Step 4: Simplify right side
    340.56x = 103,593.43
  5. Step 5: Solve for x
    x = 103,593.43/340.56
  6. Step 6: Final answer
    x = 304.19

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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.