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Finding the Fourth Proportional to 153.63, 230.11 and 135.41

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Solution

The fourth proportional to 153.63, 230.11 and 135.41 is: 202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 230.11 = 135.41 : x
  2. Step 2: Convert to fraction form
    153.63/230.11 = 135.41/x
  3. Step 3: Cross multiply
    153.63x = 230.11 × 135.41
  4. Step 4: Simplify right side
    153.63x = 31,157.71
  5. Step 5: Solve for x
    x = 31,157.71/153.63
  6. Step 6: Final answer
    x = 202.81

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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.