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Finding the Fourth Proportional to 201.68, 278.24 and 114.32

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Solution

The fourth proportional to 201.68, 278.24 and 114.32 is: 157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.68 : 278.24 = 114.32 : x
  2. Step 2: Convert to fraction form
    201.68/278.24 = 114.32/x
  3. Step 3: Cross multiply
    201.68x = 278.24 × 114.32
  4. Step 4: Simplify right side
    201.68x = 31,808.40
  5. Step 5: Solve for x
    x = 31,808.40/201.68
  6. Step 6: Final answer
    x = 157.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.