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Finding the Fourth Proportional to 213.59, 294.71 and 135.00

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Solution

The fourth proportional to 213.59, 294.71 and 135.00 is: 186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.59 : 294.71 = 135.00 : x
  2. Step 2: Convert to fraction form
    213.59/294.71 = 135.00/x
  3. Step 3: Cross multiply
    213.59x = 294.71 × 135.00
  4. Step 4: Simplify right side
    213.59x = 39,783.70
  5. Step 5: Solve for x
    x = 39,783.70/213.59
  6. Step 6: Final answer
    x = 186.26

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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.