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Finding the Fourth Proportional to 153.57, 229.82 and 120.80

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Solution

The fourth proportional to 153.57, 229.82 and 120.80 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.57 : 229.82 = 120.80 : x
  2. Step 2: Convert to fraction form
    153.57/229.82 = 120.80/x
  3. Step 3: Cross multiply
    153.57x = 229.82 × 120.80
  4. Step 4: Simplify right side
    153.57x = 27,762.28
  5. Step 5: Solve for x
    x = 27,762.28/153.57
  6. Step 6: Final answer
    x = 180.77

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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.