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Finding the Fourth Proportional to 213.74, 294.87 and 135.02

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Solution

The fourth proportional to 213.74, 294.87 and 135.02 is: 186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 294.87 = 135.02 : x
  2. Step 2: Convert to fraction form
    213.74/294.87 = 135.02/x
  3. Step 3: Cross multiply
    213.74x = 294.87 × 135.02
  4. Step 4: Simplify right side
    213.74x = 39,813.75
  5. Step 5: Solve for x
    x = 39,813.75/213.74
  6. Step 6: Final answer
    x = 186.28

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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.