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Finding the Fourth Proportional to 207.25, 285.99 and 114.00

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Solution

The fourth proportional to 207.25, 285.99 and 114.00 is: 157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.25 : 285.99 = 114.00 : x
  2. Step 2: Convert to fraction form
    207.25/285.99 = 114.00/x
  3. Step 3: Cross multiply
    207.25x = 285.99 × 114.00
  4. Step 4: Simplify right side
    207.25x = 32,602.08
  5. Step 5: Solve for x
    x = 32,602.08/207.25
  6. Step 6: Final answer
    x = 157.31

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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.