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Finding the Fourth Proportional to 207.76, 286.71 and 114.51

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Solution

The fourth proportional to 207.76, 286.71 and 114.51 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.76 : 286.71 = 114.51 : x
  2. Step 2: Convert to fraction form
    207.76/286.71 = 114.51/x
  3. Step 3: Cross multiply
    207.76x = 286.71 × 114.51
  4. Step 4: Simplify right side
    207.76x = 32,829.73
  5. Step 5: Solve for x
    x = 32,829.73/207.76
  6. Step 6: Final answer
    x = 158.02

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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.