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Finding the Fourth Proportional to 147.76, 221.74 and 127.44

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Solution

The fourth proportional to 147.76, 221.74 and 127.44 is: 191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.76 : 221.74 = 127.44 : x
  2. Step 2: Convert to fraction form
    147.76/221.74 = 127.44/x
  3. Step 3: Cross multiply
    147.76x = 221.74 × 127.44
  4. Step 4: Simplify right side
    147.76x = 28,258.23
  5. Step 5: Solve for x
    x = 28,258.23/147.76
  6. Step 6: Final answer
    x = 191.25

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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.