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Finding the Fourth Proportional to 145.28, 218.06 and 135.23

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Solution

The fourth proportional to 145.28, 218.06 and 135.23 is: 202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.28 : 218.06 = 135.23 : x
  2. Step 2: Convert to fraction form
    145.28/218.06 = 135.23/x
  3. Step 3: Cross multiply
    145.28x = 218.06 × 135.23
  4. Step 4: Simplify right side
    145.28x = 29,486.49
  5. Step 5: Solve for x
    x = 29,486.49/145.28
  6. Step 6: Final answer
    x = 202.97

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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.