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Finding the Fourth Proportional to 200.43, 299.18 and 176.13

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Solution

The fourth proportional to 200.43, 299.18 and 176.13 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.43 : 299.18 = 176.13 : x
  2. Step 2: Convert to fraction form
    200.43/299.18 = 176.13/x
  3. Step 3: Cross multiply
    200.43x = 299.18 × 176.13
  4. Step 4: Simplify right side
    200.43x = 52,693.08
  5. Step 5: Solve for x
    x = 52,693.08/200.43
  6. Step 6: Final answer
    x = 262.91

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