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Finding the Fourth Proportional to 303.16, 418.10 and 256.66

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Solution

The fourth proportional to 303.16, 418.10 and 256.66 is: 353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.16 : 418.10 = 256.66 : x
  2. Step 2: Convert to fraction form
    303.16/418.10 = 256.66/x
  3. Step 3: Cross multiply
    303.16x = 418.10 × 256.66
  4. Step 4: Simplify right side
    303.16x = 107,309.55
  5. Step 5: Solve for x
    x = 107,309.55/303.16
  6. Step 6: Final answer
    x = 353.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.