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Finding the Fourth Proportional to 153.82, 229.60 and 135.59

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Solution

The fourth proportional to 153.82, 229.60 and 135.59 is: 202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.82 : 229.60 = 135.59 : x
  2. Step 2: Convert to fraction form
    153.82/229.60 = 135.59/x
  3. Step 3: Cross multiply
    153.82x = 229.60 × 135.59
  4. Step 4: Simplify right side
    153.82x = 31,131.46
  5. Step 5: Solve for x
    x = 31,131.46/153.82
  6. Step 6: Final answer
    x = 202.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.