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Finding the Fourth Proportional to 200.49, 299.03 and 174.60

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Solution

The fourth proportional to 200.49, 299.03 and 174.60 is: 260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.49 : 299.03 = 174.60 : x
  2. Step 2: Convert to fraction form
    200.49/299.03 = 174.60/x
  3. Step 3: Cross multiply
    200.49x = 299.03 × 174.60
  4. Step 4: Simplify right side
    200.49x = 52,209.77
  5. Step 5: Solve for x
    x = 52,209.77/200.49
  6. Step 6: Final answer
    x = 260.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.