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Finding the Fourth Proportional to 201.64, 278.24 and 114.30

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Solution

The fourth proportional to 201.64, 278.24 and 114.30 is: 157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.64 : 278.24 = 114.30 : x
  2. Step 2: Convert to fraction form
    201.64/278.24 = 114.30/x
  3. Step 3: Cross multiply
    201.64x = 278.24 × 114.30
  4. Step 4: Simplify right side
    201.64x = 31,802.83
  5. Step 5: Solve for x
    x = 31,802.83/201.64
  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.