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Finding the Fourth Proportional to 306.23, 421.93 and 256.26

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Solution

The fourth proportional to 306.23, 421.93 and 256.26 is: 353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.23 : 421.93 = 256.26 : x
  2. Step 2: Convert to fraction form
    306.23/421.93 = 256.26/x
  3. Step 3: Cross multiply
    306.23x = 421.93 × 256.26
  4. Step 4: Simplify right side
    306.23x = 108,123.78
  5. Step 5: Solve for x
    x = 108,123.78/306.23
  6. Step 6: Final answer
    x = 353.08

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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.