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Finding the Fourth Proportional to 202.53, 279.74 and 147.18

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Solution

The fourth proportional to 202.53, 279.74 and 147.18 is: 203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.53 : 279.74 = 147.18 : x
  2. Step 2: Convert to fraction form
    202.53/279.74 = 147.18/x
  3. Step 3: Cross multiply
    202.53x = 279.74 × 147.18
  4. Step 4: Simplify right side
    202.53x = 41,172.13
  5. Step 5: Solve for x
    x = 41,172.13/202.53
  6. Step 6: Final answer
    x = 203.29

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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.