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Finding the Fourth Proportional to 164.03, 247.28 and 153.59

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Solution

The fourth proportional to 164.03, 247.28 and 153.59 is: 231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.03 : 247.28 = 153.59 : x
  2. Step 2: Convert to fraction form
    164.03/247.28 = 153.59/x
  3. Step 3: Cross multiply
    164.03x = 247.28 × 153.59
  4. Step 4: Simplify right side
    164.03x = 37,979.74
  5. Step 5: Solve for x
    x = 37,979.74/164.03
  6. Step 6: Final answer
    x = 231.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.