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Finding the Fourth Proportional to 147.33, 202.89 and 146.88

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Solution

The fourth proportional to 147.33, 202.89 and 146.88 is: 202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.33 : 202.89 = 146.88 : x
  2. Step 2: Convert to fraction form
    147.33/202.89 = 146.88/x
  3. Step 3: Cross multiply
    147.33x = 202.89 × 146.88
  4. Step 4: Simplify right side
    147.33x = 29,800.48
  5. Step 5: Solve for x
    x = 29,800.48/147.33
  6. Step 6: Final answer
    x = 202.27

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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.