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Finding the Fourth Proportional to 201.49, 278.18 and 157.15

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Solution

The fourth proportional to 201.49, 278.18 and 157.15 is: 216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.49 : 278.18 = 157.15 : x
  2. Step 2: Convert to fraction form
    201.49/278.18 = 157.15/x
  3. Step 3: Cross multiply
    201.49x = 278.18 × 157.15
  4. Step 4: Simplify right side
    201.49x = 43,714.99
  5. Step 5: Solve for x
    x = 43,714.99/201.49
  6. Step 6: Final answer
    x = 216.96

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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.