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Finding the Fourth Proportional to 306.82, 460.17 and 90.35

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Solution

The fourth proportional to 306.82, 460.17 and 90.35 is: 135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 460.17 = 90.35 : x
  2. Step 2: Convert to fraction form
    306.82/460.17 = 90.35/x
  3. Step 3: Cross multiply
    306.82x = 460.17 × 90.35
  4. Step 4: Simplify right side
    306.82x = 41,576.36
  5. Step 5: Solve for x
    x = 41,576.36/306.82
  6. Step 6: Final answer
    x = 135.51

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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.