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Finding the Fourth Proportional to 201, 277.38 and 123.39

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Solution

The fourth proportional to 201, 277.38 and 123.39 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201 : 277.38 = 123.39 : x
  2. Step 2: Convert to fraction form
    201/277.38 = 123.39/x
  3. Step 3: Cross multiply
    201x = 277.38 × 123.39
  4. Step 4: Simplify right side
    201x = 34,225.92
  5. Step 5: Solve for x
    x = 34,225.92/201
  6. Step 6: Final answer
    x = 170.28

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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.