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Finding the Fourth Proportional to 217.64, 300.30 and 140.06

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Solution

The fourth proportional to 217.64, 300.30 and 140.06 is: 193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.64 : 300.30 = 140.06 : x
  2. Step 2: Convert to fraction form
    217.64/300.30 = 140.06/x
  3. Step 3: Cross multiply
    217.64x = 300.30 × 140.06
  4. Step 4: Simplify right side
    217.64x = 42,060.02
  5. Step 5: Solve for x
    x = 42,060.02/217.64
  6. Step 6: Final answer
    x = 193.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.