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Finding the Fourth Proportional to 180.28, 248.60 and 156.76

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Solution

The fourth proportional to 180.28, 248.60 and 156.76 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 248.60 = 156.76 : x
  2. Step 2: Convert to fraction form
    180.28/248.60 = 156.76/x
  3. Step 3: Cross multiply
    180.28x = 248.60 × 156.76
  4. Step 4: Simplify right side
    180.28x = 38,970.54
  5. Step 5: Solve for x
    x = 38,970.54/180.28
  6. Step 6: Final answer
    x = 216.17

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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.