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Finding the Fourth Proportional to 200.07, 299.50 and 146.00

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Solution

The fourth proportional to 200.07, 299.50 and 146.00 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.07 : 299.50 = 146.00 : x
  2. Step 2: Convert to fraction form
    200.07/299.50 = 146.00/x
  3. Step 3: Cross multiply
    200.07x = 299.50 × 146.00
  4. Step 4: Simplify right side
    200.07x = 43,727.38
  5. Step 5: Solve for x
    x = 43,727.38/200.07
  6. Step 6: Final answer
    x = 218.56

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Why These Related Problems?

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