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Finding the Fourth Proportional to 206.25, 284.63 and 113.00

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Solution

The fourth proportional to 206.25, 284.63 and 113.00 is: 155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.25 : 284.63 = 113.00 : x
  2. Step 2: Convert to fraction form
    206.25/284.63 = 113.00/x
  3. Step 3: Cross multiply
    206.25x = 284.63 × 113.00
  4. Step 4: Simplify right side
    206.25x = 32,162.59
  5. Step 5: Solve for x
    x = 32,162.59/206.25
  6. Step 6: Final answer
    x = 155.94

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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.