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Finding the Fourth Proportional to 201.69, 277.63 and 189.14

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Solution

The fourth proportional to 201.69, 277.63 and 189.14 is: 260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 277.63 = 189.14 : x
  2. Step 2: Convert to fraction form
    201.69/277.63 = 189.14/x
  3. Step 3: Cross multiply
    201.69x = 277.63 × 189.14
  4. Step 4: Simplify right side
    201.69x = 52,509.08
  5. Step 5: Solve for x
    x = 52,509.08/201.69
  6. Step 6: Final answer
    x = 260.35

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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.