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Finding the Fourth Proportional to 164.71, 246.02 and 128.26

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Solution

The fourth proportional to 164.71, 246.02 and 128.26 is: 191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.71 : 246.02 = 128.26 : x
  2. Step 2: Convert to fraction form
    164.71/246.02 = 128.26/x
  3. Step 3: Cross multiply
    164.71x = 246.02 × 128.26
  4. Step 4: Simplify right side
    164.71x = 31,554.53
  5. Step 5: Solve for x
    x = 31,554.53/164.71
  6. Step 6: Final answer
    x = 191.58

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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.