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Finding the Fourth Proportional to 306.65, 459.97 and 90.23

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Solution

The fourth proportional to 306.65, 459.97 and 90.23 is: 135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 459.97 = 90.23 : x
  2. Step 2: Convert to fraction form
    306.65/459.97 = 90.23/x
  3. Step 3: Cross multiply
    306.65x = 459.97 × 90.23
  4. Step 4: Simplify right side
    306.65x = 41,503.09
  5. Step 5: Solve for x
    x = 41,503.09/306.65
  6. Step 6: Final answer
    x = 135.34

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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.