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Finding the Fourth Proportional to 145.18, 218.31 and 133.84

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Solution

The fourth proportional to 145.18, 218.31 and 133.84 is: 201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.18 : 218.31 = 133.84 : x
  2. Step 2: Convert to fraction form
    145.18/218.31 = 133.84/x
  3. Step 3: Cross multiply
    145.18x = 218.31 × 133.84
  4. Step 4: Simplify right side
    145.18x = 29,218.61
  5. Step 5: Solve for x
    x = 29,218.61/145.18
  6. Step 6: Final answer
    x = 201.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.