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Finding the Fourth Proportional to 302.50, 451.67 and 256.06

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Solution

The fourth proportional to 302.50, 451.67 and 256.06 is: 382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.50 : 451.67 = 256.06 : x
  2. Step 2: Convert to fraction form
    302.50/451.67 = 256.06/x
  3. Step 3: Cross multiply
    302.50x = 451.67 × 256.06
  4. Step 4: Simplify right side
    302.50x = 115,654.62
  5. Step 5: Solve for x
    x = 115,654.62/302.50
  6. Step 6: Final answer
    x = 382.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.