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Finding the Fourth Proportional to 147.78, 222.60 and 135.02

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Solution

The fourth proportional to 147.78, 222.60 and 135.02 is: 203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.78 : 222.60 = 135.02 : x
  2. Step 2: Convert to fraction form
    147.78/222.60 = 135.02/x
  3. Step 3: Cross multiply
    147.78x = 222.60 × 135.02
  4. Step 4: Simplify right side
    147.78x = 30,055.45
  5. Step 5: Solve for x
    x = 30,055.45/147.78
  6. Step 6: Final answer
    x = 203.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.