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Finding the Fourth Proportional to 200.40, 299.46 and 178.80

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Solution

The fourth proportional to 200.40, 299.46 and 178.80 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.40 : 299.46 = 178.80 : x
  2. Step 2: Convert to fraction form
    200.40/299.46 = 178.80/x
  3. Step 3: Cross multiply
    200.40x = 299.46 × 178.80
  4. Step 4: Simplify right side
    200.40x = 53,543.45
  5. Step 5: Solve for x
    x = 53,543.45/200.40
  6. Step 6: Final answer
    x = 267.18

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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.