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Finding the Fourth Proportional to 200.04, 299.70 and 91.60

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Solution

The fourth proportional to 200.04, 299.70 and 91.60 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 299.70 = 91.60 : x
  2. Step 2: Convert to fraction form
    200.04/299.70 = 91.60/x
  3. Step 3: Cross multiply
    200.04x = 299.70 × 91.60
  4. Step 4: Simplify right side
    200.04x = 27,451.77
  5. Step 5: Solve for x
    x = 27,451.77/200.04
  6. Step 6: Final answer
    x = 137.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.