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Finding the Fourth Proportional to 200.30, 300.45 and 63.35

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Solution

The fourth proportional to 200.30, 300.45 and 63.35 is: 95.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 300.45 = 63.35 : x
  2. Step 2: Convert to fraction form
    200.30/300.45 = 63.35/x
  3. Step 3: Cross multiply
    200.30x = 300.45 × 63.35
  4. Step 4: Simplify right side
    200.30x = 19,032.69
  5. Step 5: Solve for x
    x = 19,032.69/200.30
  6. Step 6: Final answer
    x = 95.02

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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.