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Finding the Fourth Proportional to 240.43, 360.29 and 153.62

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Solution

The fourth proportional to 240.43, 360.29 and 153.62 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.43 : 360.29 = 153.62 : x
  2. Step 2: Convert to fraction form
    240.43/360.29 = 153.62/x
  3. Step 3: Cross multiply
    240.43x = 360.29 × 153.62
  4. Step 4: Simplify right side
    240.43x = 55,349.03
  5. Step 5: Solve for x
    x = 55,349.03/240.43
  6. Step 6: Final answer
    x = 230.21

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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.