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Finding the Fourth Proportional to 180.36, 270.54 and 64.79

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Solution

The fourth proportional to 180.36, 270.54 and 64.79 is: 97.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 270.54 = 64.79 : x
  2. Step 2: Convert to fraction form
    180.36/270.54 = 64.79/x
  3. Step 3: Cross multiply
    180.36x = 270.54 × 64.79
  4. Step 4: Simplify right side
    180.36x = 17,526.93
  5. Step 5: Solve for x
    x = 17,526.93/180.36
  6. Step 6: Final answer
    x = 97.18

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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.