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Finding the Fourth Proportional to 200.42, 300.65 and 63.45

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Solution

The fourth proportional to 200.42, 300.65 and 63.45 is: 95.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.42 : 300.65 = 63.45 : x
  2. Step 2: Convert to fraction form
    200.42/300.65 = 63.45/x
  3. Step 3: Cross multiply
    200.42x = 300.65 × 63.45
  4. Step 4: Simplify right side
    200.42x = 19,074.74
  5. Step 5: Solve for x
    x = 19,074.74/200.42
  6. Step 6: Final answer
    x = 95.18

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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.