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Finding the Fourth Proportional to 213.49, 294.56 and 147.12

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Solution

The fourth proportional to 213.49, 294.56 and 147.12 is: 202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.49 : 294.56 = 147.12 : x
  2. Step 2: Convert to fraction form
    213.49/294.56 = 147.12/x
  3. Step 3: Cross multiply
    213.49x = 294.56 × 147.12
  4. Step 4: Simplify right side
    213.49x = 43,334.93
  5. Step 5: Solve for x
    x = 43,334.93/213.49
  6. Step 6: Final answer
    x = 202.99

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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.