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Finding the Fourth Proportional to 147.18, 202.98 and 135.56

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Solution

The fourth proportional to 147.18, 202.98 and 135.56 is: 186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 202.98 = 135.56 : x
  2. Step 2: Convert to fraction form
    147.18/202.98 = 135.56/x
  3. Step 3: Cross multiply
    147.18x = 202.98 × 135.56
  4. Step 4: Simplify right side
    147.18x = 27,515.97
  5. Step 5: Solve for x
    x = 27,515.97/147.18
  6. Step 6: Final answer
    x = 186.95

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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.