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Finding the Fourth Proportional to 220.76, 304.80 and 155.42

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Solution

The fourth proportional to 220.76, 304.80 and 155.42 is: 214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.76 : 304.80 = 155.42 : x
  2. Step 2: Convert to fraction form
    220.76/304.80 = 155.42/x
  3. Step 3: Cross multiply
    220.76x = 304.80 × 155.42
  4. Step 4: Simplify right side
    220.76x = 47,372.02
  5. Step 5: Solve for x
    x = 47,372.02/220.76
  6. Step 6: Final answer
    x = 214.59

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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.