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Finding the Fourth Proportional to 208.34, 287.50 and 121.01

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Solution

The fourth proportional to 208.34, 287.50 and 121.01 is: 166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.34 : 287.50 = 121.01 : x
  2. Step 2: Convert to fraction form
    208.34/287.50 = 121.01/x
  3. Step 3: Cross multiply
    208.34x = 287.50 × 121.01
  4. Step 4: Simplify right side
    208.34x = 34,790.48
  5. Step 5: Solve for x
    x = 34,790.48/208.34
  6. Step 6: Final answer
    x = 166.99

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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.