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Finding the Fourth Proportional to 213.64, 294.84 and 148.30

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Solution

The fourth proportional to 213.64, 294.84 and 148.30 is: 204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 294.84 = 148.30 : x
  2. Step 2: Convert to fraction form
    213.64/294.84 = 148.30/x
  3. Step 3: Cross multiply
    213.64x = 294.84 × 148.30
  4. Step 4: Simplify right side
    213.64x = 43,724.03
  5. Step 5: Solve for x
    x = 43,724.03/213.64
  6. Step 6: Final answer
    x = 204.66

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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.