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Finding the Fourth Proportional to 200.76, 299.70 and 176.52

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Solution

The fourth proportional to 200.76, 299.70 and 176.52 is: 263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 299.70 = 176.52 : x
  2. Step 2: Convert to fraction form
    200.76/299.70 = 176.52/x
  3. Step 3: Cross multiply
    200.76x = 299.70 × 176.52
  4. Step 4: Simplify right side
    200.76x = 52,903.04
  5. Step 5: Solve for x
    x = 52,903.04/200.76
  6. Step 6: Final answer
    x = 263.51

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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.