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Finding the Fourth Proportional to 164.41, 227.43 and 145.01

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Solution

The fourth proportional to 164.41, 227.43 and 145.01 is: 200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.41 : 227.43 = 145.01 : x
  2. Step 2: Convert to fraction form
    164.41/227.43 = 145.01/x
  3. Step 3: Cross multiply
    164.41x = 227.43 × 145.01
  4. Step 4: Simplify right side
    164.41x = 32,980.19
  5. Step 5: Solve for x
    x = 32,980.19/164.41
  6. Step 6: Final answer
    x = 200.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.