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Finding the Fourth Proportional to 200.13, 299.86 and 78.32

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Solution

The fourth proportional to 200.13, 299.86 and 78.32 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.13 : 299.86 = 78.32 : x
  2. Step 2: Convert to fraction form
    200.13/299.86 = 78.32/x
  3. Step 3: Cross multiply
    200.13x = 299.86 × 78.32
  4. Step 4: Simplify right side
    200.13x = 23,485.59
  5. Step 5: Solve for x
    x = 23,485.59/200.13
  6. Step 6: Final answer
    x = 117.35

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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.