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Finding the Fourth Proportional to 307.23, 460.92 and 153.23

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Solution

The fourth proportional to 307.23, 460.92 and 153.23 is: 229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.23 : 460.92 = 153.23 : x
  2. Step 2: Convert to fraction form
    307.23/460.92 = 153.23/x
  3. Step 3: Cross multiply
    307.23x = 460.92 × 153.23
  4. Step 4: Simplify right side
    307.23x = 70,626.77
  5. Step 5: Solve for x
    x = 70,626.77/307.23
  6. Step 6: Final answer
    x = 229.88

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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.