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Finding the Fourth Proportional to 218.92, 302.16 and 180.04

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Solution

The fourth proportional to 218.92, 302.16 and 180.04 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.92 : 302.16 = 180.04 : x
  2. Step 2: Convert to fraction form
    218.92/302.16 = 180.04/x
  3. Step 3: Cross multiply
    218.92x = 302.16 × 180.04
  4. Step 4: Simplify right side
    218.92x = 54,400.89
  5. Step 5: Solve for x
    x = 54,400.89/218.92
  6. Step 6: Final answer
    x = 248.50

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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.