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Finding the Fourth Proportional to 200.08, 274.49 and 178.24

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Solution

The fourth proportional to 200.08, 274.49 and 178.24 is: 244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.08 : 274.49 = 178.24 : x
  2. Step 2: Convert to fraction form
    200.08/274.49 = 178.24/x
  3. Step 3: Cross multiply
    200.08x = 274.49 × 178.24
  4. Step 4: Simplify right side
    200.08x = 48,925.10
  5. Step 5: Solve for x
    x = 48,925.10/200.08
  6. Step 6: Final answer
    x = 244.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.