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Finding the Fourth Proportional to 201.59, 278.26 and 114.32

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Solution

The fourth proportional to 201.59, 278.26 and 114.32 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.59 : 278.26 = 114.32 : x
  2. Step 2: Convert to fraction form
    201.59/278.26 = 114.32/x
  3. Step 3: Cross multiply
    201.59x = 278.26 × 114.32
  4. Step 4: Simplify right side
    201.59x = 31,810.40
  5. Step 5: Solve for x
    x = 31,810.40/201.59
  6. Step 6: Final answer
    x = 157.80

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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.