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Finding the Fourth Proportional to 201.65, 278.16 and 114.31

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Solution

The fourth proportional to 201.65, 278.16 and 114.31 is: 157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.65 : 278.16 = 114.31 : x
  2. Step 2: Convert to fraction form
    201.65/278.16 = 114.31/x
  3. Step 3: Cross multiply
    201.65x = 278.16 × 114.31
  4. Step 4: Simplify right side
    201.65x = 31,795.08
  5. Step 5: Solve for x
    x = 31,795.08/201.65
  6. Step 6: Final answer
    x = 157.67

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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.