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Finding the Fourth Proportional to 200.46, 299.97 and 145.68

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Solution

The fourth proportional to 200.46, 299.97 and 145.68 is: 218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 299.97 = 145.68 : x
  2. Step 2: Convert to fraction form
    200.46/299.97 = 145.68/x
  3. Step 3: Cross multiply
    200.46x = 299.97 × 145.68
  4. Step 4: Simplify right side
    200.46x = 43,699.63
  5. Step 5: Solve for x
    x = 43,699.63/200.46
  6. Step 6: Final answer
    x = 218.00

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